Assignment No.: 3

Marketing Plan

From the real international market, select a company of your choice wishing to start its activities in Saudi Arabia. The Company hired you as Marketing Manager of Saudi Arabian Region.

You have to establish a marketing department starting from the Analysis of the market, formulate overall marketing goals, objectives, strategies, and tactics within the context of an organization's business, mission, and goals designing and planning the entire function.

Write a Marketing Plan considering the following points (2x5=10 Marks)

1. Introduction, Goals and Objectives

To introduce this section you should include the "mission statement" of the business; an idea of what its goals are for customers, clients, employees and the consumer.

1. Introduction about the business.
2. Business vision and mission
3. Business objective.
4. Products and services offered

2. Environmental Analysis

Conduct an environmental analysis that looks at and comments on your local area and your network of business contacts, competitors and customers.

3. Target Market Analysis

Identify the target market, describing how the company will meet the needs of the consumer better than the competition does.

4. SWOT Analysis

Conduct a SWOT analysis for your chosen company based on your research.

Strengths: List the strengths of the business approach;

Weaknesses: Describe the areas of weakness in the company's operations;

Opportunities: Examine factors that may improve the business's chances of success;

Threats: List the external threats to the business' success.

5. Marketing Mix (4 P’s ) Analysis

Describe each of the 4Ps of your chosen company.

Product or Service

Identify the product or service by what it is, who will buy it, how much they will pay for it and how much it will cost for the company to produce it, why a consumer demand exists for your product, and where the product sits in comparison to similar products/services now available.

Place

Identify the location of the business, why it is located there (strategic, competitive, economic objectives), the expected methods of distribution, and timing objectives.

Promotion

Describe the type of promotional methods that will be used. Identify techniques such as word of mouth, personal selling, direct marketing, sales promotion etc. television, radio, social media and newspaper ads.

Price

The prices of the products or services that reflects the overall company strategy. Should be competitive as well as a reflection of the quality, costs and profit margin.

Write a C program that repeatedly prompts the user for input at a simple prompt (see the sample output below for details). Your program should parse the input and provide output that describes the input specified. To best explain, here's some sample output:

ibrahim@ibrahim-latech:~$ ./prog1

$ ls -a -l -h

Line read: ls -a -l -h

Token(s):

ls

-a

-l

-h

4 token(s) read

$ ls -alh

Line read: ls -alh

Token(s):

ls

-a

-l

-h

2 token(s) read

$ clear

Line read: clear

Token(s):

clear

1 token(s) read

$ exit ibrahim@ibrahim-latech:~$

Note that the first and last lines are not part of program output (i.e., they are of the terminal session launching the program and after its exit). The program prompts the user (with a simple prompt containing just a $ followed by a space) and accepts user input until the command exit is provided, at which point it exits the program and returns to the terminal. For all other user input, it first outputs the string Line read: followed by the user input provided (on the same line). On the next line, it outputs the string Token(s):. This is followed by a list of the tokens in the input provided, each placed on a separate line and indented by a single space. For our purposes, a token is any string in the user input that is delimited by a space (i.e., basically a word). The string n token(s) read is then outputted on the next line (of course, n is replaced with the actual number of tokens read). Finally, a blank line is outputted before prompting for user input again. The process repeats until the command exit is provided. Hints: (1) An array of 256 characters for the user input should suffice (2) To get user input, fgets is your friend (3) To compare user input, strcmp is your friend (4) To tokenize user input, strtok is your friend Turn in your .c source file only that is compilable as follows (filename doesn't matter): gcc -o prog1 prog1.c Make sure to comment your source code appropriately, and to include a header providing your name.

You are hired to design a database for a fitness center. As the fitness center is expanding with more than one branch, they want to create a database to keep track of its customers, facilities and employees. Each branch has a unique id and address (building number, street, district, and city). A branch may have more than one facility (e.g. swimming pool, spa, etc.). Each facility must belong to only one branch, and the information for a facility is name and fees. In addition, each fitness branch offers different classes (such as Yoga, Pilates, Zumba, etc.). All classes should be led by at most one trainer, who is an employee.

Employees must work at one and only one branch. Each employee has an id, name, address (building number, street, district, and city) and can have multiple phone numbers. An employee can only be an admin, managing the facility or working as a clerk, or a trainer. An employee cannot be a trainer and an admin because the trainer id compensated an hourly wage while an admin staff paid a monthly salary. Trainers can train individual customers at different time sessions.

A customer must register at one branch. Each customer has a membership number, name (stored as first name and last name), email, and only one phone number. A customer can join more than one class or uses any number of facilities. A customer may also decide to be trained by at most one personal trainer.

Given the above description:

1. Draw an ERD for the database, identifying the following:
   1. All the entities, attributes and relationships
   2. Primary key and (discriminator in weak entity, if any). Don’t forget each entity has to have PK.
   3. Participation and cardinality constraints. (Explain your choices for two constraints- i.e. identify the words the guided your decision)
   4. Specialization and completeness constraints (if there is an ISA relationship).

2. Write a schema for two entities and two relationships of your choice. Remember, sometimes a relationship is better not be represented in a separate schema; if this is the case with your chosen relationship explain what you will do.
3. Please use a tool to draw the ERD exactly draw it use the word microsoft to make it clear answer .

Variables typically included in a multivariate demand function (other than the price and quantity of the item the demand function represents) are consumer tastes and preferences, the number of buyers, spendable (disposable) income, prices of substitute goods, prices of complementary goods, advertising expenditures, weather, and expectations. Recalling that the price of the item being considered is placed on the vertical axis, and the quantity on the horizontal axis, the other variables are termed demand shifters. Please answer the following questions about the affect changes in other variables might have on the demand for the item. These changes will either cause demand to increase (shift right) or decrease (shift left). Use either word as applicable, for the short answer.

1. Small fire extinguishers can be refilled, must be serviced and inspected annually, and must be pressure tested every five years. Additionally, there is a safety regulation that arbitrarily declares them obsolete after 25 years (after which the code prohibits their commercial use, repair, or recertification). Commercial businesses are required by fire codes to have certified extinguishers that meet the code regardless of the extinguisher’s operability.   The effect of this regulation is to ________________ the demand for new extinguishers, rather than recertifying older ones.

2. Retail businesses (such as Best buy, Barnes and Noble and other brick and mortar retailers) continually encourage their trade associations to lobby Congress to impose sales taxes on internet sales. They want internet sales taxed as a way of __________________ the demand for the merchandise physically stocked in their stores.

3. Compressed Natural Gas (CNG) powers vehicles well, and is an almost pollution-free fuel. If factory equipped, vehicles can switch between using either CNG or ordinary gasoline. It costs under $4000 extra to buy such a factory-equipped auto. However, the auto industry makes little effort to promote the use of CNG. Instead, the auto industry is rushing to introduce battery-powered autos that use expensive, heavy and dangerous Lithium Ion batteries. Suppose the government sufficiently subsidized the installation of CNG pumps at public service stations. The effect might _________________ the demand for CNG powered autos.

4. Government-promulgated rules and regulations specify ever stricter building codes and safety standards, more encompassing caloric maximums for fast foods, higher automobile gas mileage minimums, tighter pollution emission standards, etc, etc. Free market advocates vociferously and vocally condemn these as unnecessary market interferences that increase the production cost of domestically produced goods. Yet the same advocates are among the strongest enforcers of these standards and regulations because they sell and install the new items the codes require. This contradiction is readily explained by realizing that increasing regulations and standards actually ______________ the demand for code-mandated items they sell/manufacture relative to imports.

5. Fast food chains have responded to government mandates by publishing caloric values of the foods they sell and by offering healthy menu alternatives in addition to their traditional high fat, high calorie offerings. Nevertheless, the fast-food chains’ public promotion and advertising continues to stress the supersizing and/or high calorie, high fat food items they are famous for (think supersized French fries and drinks:-)). They are really trying to _____________ the demand for the high dollar supersized choices by not promoting the healthy alternatives.

Variables typically included in a multivariate supply function (other than the price and quantity of the item the supply function represents) are prices of other goods that use similar input resources for production, expectations, the number of suppliers, techniques of production, taxes and subsidies, prices of input resources, and weather. Please answer the following questions about the affect changes in other variables might have on the supply of the item. These changes will either cause supply to increase (shift right) or decrease (shift left). Use either word as applicable, for the short answer.

       1. Regents of Oklahoma colleges and universities are allowing schools to develop an increasing number of certificate programs. These are two-year programs consisting of just the advanced specialized courses in a field. Upon completion, the student receives a certificate of completion rather than the traditional degree. They hope this leads to an _________________ supply of narrowly-trained specialists needed to meet shortages in specialized skills..

      2. Tablet computers have proliferated. In the five years after the Apple iPad™ was introduced, most technology companies have introduced their own cheaper versions. These same companies are also _________________ the supply of desktop computers they produce.

      3. New York, with encouragement from its Mayor, has passed a city ordinance limiting the maximum size of sugared, high calorie drinks that can be sold within their city limits. This is an attempt to _______________ the supply of these obesity-causing beverages.

      4. In July, 2013, the world price of oil began spiking above $100 per barrel. Egyptians were rioting and calling for the resignation of their president (which the military did indeed achieve). This turmoil likely triggered expectations of a future _______________ in the supply of petroleum from mid-eastern countries.

      5. Obesity is now a medically certified disease (which may mean insurance claims for medical treatment of it might be paid). If so, medical schools’ supply of doctors specializing in obesity treatment will likely ___________ .

1. You are testing H0: µ = 0 against Ha: µ > 0 based on an SRS of 15 observations from a Normal population.

   • What values of the t statistic are statistically significant at the a = 0.005 level?

     1. t < - 3.326 or t > 3.326

     2. t > 2.977

     3. t < - 3.286 or t > 3.286

2. To study the metabolism of insects, researchers fed cockroaches measured amounts of a sugar solution. After 2, 5, and 10 hours, they dissected some of the cockroaches and measured the amount of sugar in various tissues. Five roaches fed the sugar D-glucose and dissected after 10 hours had the following amounts (in micrograms) of D-glucose in their hindguts - Amounts of D-glucose: 55.95 68.24 52.73 21.5 23.78

   • The researchers gave a 96% confidence interval for the mean amount of D-glucose in cockroach hindguts under these conditions. The insects are a random sample from a uniform population grown in the laboratory. We therefore expect responses to be Normal.

     1. The mean (±0.01) and the standard deviation (±0.0001) of the SRS are: x =_____   s = _________

     2. The critical value (±0.001) from the distribution for 96% confidence interval is: t*=______

     3. What confidence interval (±0.01) did the researchers give? _____ to _____

3. A study of commuting times reports the travel times to work of a random sample of 22 employed adults in Chicago. The mean is X= 28.28 minutes and the standard deviation is s = 17.2 minutes.

   • What is the standard error of the mean? _____

4. You are testing H0: µ = 100 against Ha: µ < 100 based on an SRS of 15 observations from a Normal population. The data give x⎯⎯⎯x¯ = 7 and = 4.7.

   • The value of the t statistic is _____

5. You are testing H0:μ=100 H0:μ=100 against Ha:μ<100 Ha:μ<100 with degrees of freedom of 24. The t statistic is 2.25

   • The P-value for the statistic falls between ____ and ____

6. You have an SRS of 14 observations from a Normally distributed population.

   • What critical value would you use to obtain a 99.5% confidence interval for the mean of the population? _____

7. The placebo effect is particularly strong in patients with Parkinson's disease. To understand the workings of the placebo effect, scientists measure activity at a key point in the brain when patients receive a placebo that they think is an active drug and also when no treatment is given. The same six patients are measured both with and without the placebo, at different times. The six differences (treatment minus control) had x⎯⎯⎯x¯ = -0.316 and s = 0.169.

   • The value of the t statistic is ______

   • Is there significant evidence of a difference between treatment and control?

     1. Yes

     2. No

8. Researchers claim that women speak significantly more words per day than men. One estimate is that a woman uses about 20,000 words per day while a man uses about 7,000. To investigate such claims, one study used a special device to record the conversations of male and female university students over a four- day period. From these recordings, the daily word count of the 20 men in the study was determined. Here are their daily word counts:                                                 

• • What value we should remove from observation for applying t procedures? ____

  • A 90% confidence interval for the mean number of words per day of men at this university is from ___ to ___ words

  • Is there evidence at the 10% level that mean number of words per day of men a this university differs from 10000?

    1. Yes

    2. No

• Cola makers test new recipes for loss of sweetness during storage. Trained tasters rate the sweetness before and after storage. Here are the sweetness losses (sweetness before storage minus sweetness after storage) found by 10 tasters for one new cola recipe:

• • Take the data from these 10 carefully tasters as an SRS from a large population of all trained tasters

  • Is there evidence at the 5% level that the cola lost sweetness? If the cola has not lost sweetness, the ratings after should be the same as before it was stored

  • The test statistic is t = _____

    1. Yes

    2. No

• There is evidence that cytotoxic T lymphocytes (T cells) participate in controlling tumor growth and that they can be harnessed to use the body's immune system to treat cancer. One study investigated the use of a T cell-engaging antibody, blinatumomab, to recruit T cells to control tumor growth. The data below are T cell counts (1000 per microliter) at baseline (beginning of the study) and after 20 days on blinatumomab for 6 subjects in the study. The difference (after 20 days minus baseline) is the response variable.

  Baseline:    0.04 0.02 0 0.02 0.36   0.24

After 20 days: 0 0.37 1.2   0.05 1.12 0.24

Difference: -0.04 0.35 1.2   0.03 0.76 0

• Do the data evidence at the 1% level that the mean count of T cells is higher after 20 days on blinatumomab?

• The test statistic is t = ____

  1. Yes

  2. No

Research is an integral part of all professional fields. Designing a research study can be a complicated task that can be simplified if the appropriate techniques can be identified. This assignment will give you the opportunity to design an experiment, including finding relevant prior research, determining the appropriate sample, data analysis techniques, and discuss the results you hope to see. Working from the topic chosen earlier in the topic selection, you will be designing your own statistical study. In a 1,250-1,500 word report discuss the design of an experiment that would expand on or relate to the research in the previously chosen article. See the attached document for detailed instructions on how to complete the project. A minimum of four additional scholarly resources are required. MAT-274 Final Project Detailed Criteria Background information explaining the importance of the research (why it should be done) and what has been done in the past. This background section can be a large portion of your paper, perhaps around 25% of the entire word count. Here you explain what previous research has been done on your topic and how this inspired your new study/experiment. You are required to reference four scholarly articles in your final paper. Make sure to mention how the study you designed is different from the previous work you read in your primary research articles. You can also include information in this section about why the topic is important to your field of study or relevant to you in general. Sampling and experimental design with rationale. In this section, you should include your sampling technique, how you are achieving appropriate randomization, and why this technique is the most appropriate for your particular experiment. Make sure you address any possible bias in your sampling technique and how you will consider this in your final results. Conclude this section with a discussion of your population for generalization and how the demographics of your sample achieve this goal. Data analysis techniques (specific inferential test that would need to be used and why, include tests that would need to be done to validate the assumptions needed for the chosen inferential test). This section is the heart of your final paper. The final grading of the project will focus most heavily on this content. There are at least three paragraphs worth of material to comment on in this section. It is essential that you clearly articulate which type of inferential test you are using (z, t, pairedt,pooled t,chi-squared, ANOVA+F-test, etc.). In addition to stating the type of test, you must explain why this test is appropriate. Every statistical test has certain conditions that must be satisfied to make the test have reasonable inferential power (see lecture slides on Loud Cloud). You need to verify that these assumptions are satisfied for your experiment/sample and explain what types of information you would collect to show this; mention any calculations, graphs, charts, and plots you would use. It would be very nice to include some information on how you would use Excel to implement these calculations/charts. The hypothesis test needs to be formally stated (null and alternative clearly and correctly given with variable names and inequalities/equalities in the correct spot). Describe whether this is a one-tailed or two-tailed test, your chosen significance level (with justification), and what the p-value would tell you in the context of your problem. If your test requires follow-up analysis (such as ANOVA, paired-t), you need to mention explicitly what type of follow up you will do and how these calculations would be performed. Why do you need the follow up calculations? What does this analysis tell you? Expected results as well as the questions this research will serve to answer This section can consist of a single paragraph and should discuss what exactly you hope to answer by performing your inferential test described in the previous part. State what results you expect to see for your hypothesis test, what do you expect the p-value to be approximately? What does the p-value tell you about your null/alternative? Would reject/fail to reject the null? Explain what your hypothesis test outcome means in language relevant to your chosen topic. Suggestions for future research. Your paper should end with a concluding paragraph that discusses how your experiment might influence future research. Decide on future experiments that might be performed based off your work here and previous research. Outline any sample size/experimental design changes you would recommend to future researchers. How would this future research expand the work already completed?

Research is an integral part of all professional fields. Designing a research study can be a complicated task that can be simplified if the appropriate techniques can be identified. This assignment will give you the opportunity to design an experiment, including finding relevant prior research, determining the appropriate sample, data analysis techniques, and discuss the results you hope to see. Working from the topic chosen earlier in the topic selection, you will be designing your own statistical study. In a 1,250-1,500 word report discuss the design of an experiment that would expand on or relate to the research in the previously chosen article. See the attached document for detailed instructions on how to complete the project. A minimum of four additional scholarly resources are required. MAT-274 Final Project Detailed Criteria Background information explaining the importance of the research (why it should be done) and what has been done in the past. This background section can be a large portion of your paper, perhaps around 25% of the entire word count. Here you explain what previous research has been done on your topic and how this inspired your new study/experiment. You are required to reference four scholarly articles in your final paper. Make sure to mention how the study you designed is different from the previous work you read in your primary research articles. You can also include information in this section about why the topic is important to your field of study or relevant to you in general. Sampling and experimental design with rationale. In this section, you should include your sampling technique, how you are achieving appropriate randomization, and why this technique is the most appropriate for your particular experiment. Make sure you address any possible bias in your sampling technique and how you will consider this in your final results. Conclude this section with a discussion of your population for generalization and how the demographics of your sample achieve this goal. Data analysis techniques (specific inferential test that would need to be used and why, include tests that would need to be done to validate the assumptions needed for the chosen inferential test). This section is the heart of your final paper. The final grading of the project will focus most heavily on this content. There are at least three paragraphs worth of material to comment on in this section. It is essential that you clearly articulate which type of inferential test you are using (z, t, pairedt,pooled t,chi-squared, ANOVA+F-test, etc.). In addition to stating the type of test, you must explain why this test is appropriate. Every statistical test has certain conditions that must be satisfied to make the test have reasonable inferential power (see lecture slides on Loud Cloud). You need to verify that these assumptions are satisfied for your experiment/sample and explain what types of information you would collect to show this; mention any calculations, graphs, charts, and plots you would use. It would be very nice to include some information on how you would use Excel to implement these calculations/charts. The hypothesis test needs to be formally stated (null and alternative clearly and correctly given with variable names and inequalities/equalities in the correct spot). Describe whether this is a one-tailed or two-tailed test, your chosen significance level (with justification), and what the p-value would tell you in the context of your problem. If your test requires follow-up analysis (such as ANOVA, paired-t), you need to mention explicitly what type of follow up you will do and how these calculations would be performed. Why do you need the follow up calculations? What does this analysis tell you? Expected results as well as the questions this research will serve to answer This section can consist of a single paragraph and should discuss what exactly you hope to answer by performing your inferential test described in the previous part. State what results you expect to see for your hypothesis test, what do you expect the p-value to be approximately? What does the p-value tell you about your null/alternative? Would reject/fail to reject the null? Explain what your hypothesis test outcome means in language relevant to your chosen topic. Suggestions for future research. Your paper should end with a concluding paragraph that discusses how your experiment might influence future research. Decide on future experiments that might be performed based off your work here and previous research. Outline any sample size/experimental design changes you would recommend to future researchers. How would this future research expand the work already completed?

Supplies are dropped from an airplane to land at a certain point. The velocity of the package at release from the airplane is the speed of the airplane, v0x=250ft/s. The acceleration of the package due to gravity isay= -32.2 ft/s2. The displacement in the y direction can be found using the following equation: y - y0 = v0yt + ½ayt2. The final position of the package (y) is on the ground, and y0 represents the height of the plane when the package is dropped. The initial velocity in the y direction (v0y) is zero. Therefore the equation becomes: y = y0 + ½ayt2. The distance the package travels in the x direction can be found from the equation: x - x0 = v0xt + ½axt2. The final position of the package (x) is measured from the initial position (x0). If x0 is taken as zero, and if the plane is traveling at a constant speed (ax is zero), then the equation becomes: x = v0xt. Step-by-step Excel Instructions: 1. Create a table for the initial data: i. In cell B2 put the label “Plane height:” ii. In cell C2 put the initial height of the plane in feet (ft): 350 iii. In cell B3 put the label “Acceleration (g):” iv. In cell C3 put the acceleration of gravity in ft/s^2: -32.2 v. In cell B4 put the label “Velocity:” vi. In cell C4 put the velocity in ft/s: 250 vii. In cells D2, D3, and D4, place the appropriate units 2. Create a table for the data and calculations: i. In cells B6, C6, and D6 respectively, put the labels “t”, “x”, and “y”. ii. In cell B7, enter the initial time: 0 iii. Increment the time in ½-second intervals in column B, from B8 to B16. iv. Center all of the labels and data in columns B, C, and D. v. Enter the formulas to calculate 1) x in cell C7 and 2) y in cell D7. vi. Copy the formula from C7 to C8 through C16 and from D7 to D8 through D16. vii. Format the numbers in the y column to one decimal point. 3. Create separate graphs of 1) “x vs. t” and of 2) “y vs. t”. Using the “x vs. t” graph as an example: i. Select the x data (C7:C16), and then select the “line with markers” plot type. ii. To add the time on the horizontal axis, right-click on the chart and chose “Select Data…”. In the “Select Data Source” dialog box, chose “edit” for the Horizontal (Category). In the next dialog box, simply select (drag the mouse over) the time data (B7:B16). iii. Add major vertical gridlines, chart titles, and axis labels using the buttons under the “Layout” tab. Include the correct units in the axis titles and rotate the vertical axis title to the horizontal. iv. Remove the “series” labels from these two charts (Layout/legend). v. Repeat these steps for the “y vs. t” graph. 4. Create a graph of “x and y vs. t” i. highlighting the x and y data before choosing the chart type or by copying and modifying one of the existing charts using the “Select Data…” command. ii. Change the series labels to read “x” and “y” or “horizontal distance” and “vertical distance”. iii. Add the appropriate chart title and axis labels. 5. Use trial and error: i. Change the values in the “t” column to determine, by trial and error, the time at which the package hits the ground. b. Using the “Goal Seek” tool: i. Goal Seek can be found under the “Data” tab, “What-If Analysis” button. ii. To use goal seek, open the Goal Seek dialog box: Set cell: D16, To Value: 0, By changing cell: B16. iii. Record your answer in B18, then return the spreadsheet to its initial configuration. What to Submit: Write a memorandum to the instructor that explains the data tables and the graphs. DO NOT refer to “cell B18” or any other cell (When looking at the data table in a Word document, how can you locate cell D9?). 1. Copy and paste the graphs (3) and the data tables into a Word document. It is recommended that you paste the data tables and each graph separately as a Picture (Windows or Enhanced Metafile). Do not paste the data or the graphs as a Graphic Object, or as an Excel Object (use “Paste Special” found under “Paste” on the Ribbon). Use appropriate titles or captions. 2. Explain each graph and data table. In the text, refer to each graph and table using appropriate labels. 3. Explain the number (time) obtained by using the “Goal Seek” function. 4. Carefully arrange the text, data tables, and charts to print correctly (use Print Preview). 5. Insert page numbers and a header if you have multiple pages.

Part I The input to the program will be a text file containing the information for a tolerance table. An example follows using the values from the first lecture on tolerance analysis. These values will be stored in a text file. The data is comma delimited, which means that each data field is separated by a comma. If the first word is ‘PART’ the following values are the nominal size, +/- impact, tolerance, and fixed/variable. If the first word is ‘GAP’ the following values are the minimum and maximum gap sizes. (Note: assume all units are inches.) PART,2.000,-1,0.050,V PART,0.975,-1,0.025,V PART,3.000,+1,0.010,F GAP,0.000,0.080 These input values will be processed using the methods taught in class. A sample output for the first stage is given. Actual Gap Mean: 0.025” Actual Gap Tolerance: 0.085” The Maximum Gap (0.110”) is (Greater) than specified (0.080”) The Minimum Gap (-0.060”) is (Less) than the specified (0.000”)  

Part II The second stage extends the Stage 1 analysis. In this stage the program will suggest various combinations of part dimensions and tolerances to meet the gap specifications. The fixed dimension parts are not able to have their dimensions or tolerances adjusted. Take the required adjustment to all the variable parts and apply this adjustment to each part equally as a percentage of the total part dimension. Round dimensions to the nearest thousandth. Do the same application to adjust the gaps of all parts to have the gap fully use the available tolerance. Example Input: PART,2.000,-1,0.050,V PART,0.975,-1,0.025,V PART,3.000,+1,0.010,F GAP,0.000,0.080 Example Output: Recommended Adjustments to meeting GAP,0.000,0.80: PART,1.990,-1,0.020,V PART,0.970,-1,0.010,V PART,3.000,+1,0.010,F Math used to get to the result Variable parts should add to (3 – 0.04) = 2.96 Variable parts actually add to (2 + 0.975) = 2.975 All variable parts must be adjusted to 2.96/2.975 = 99.496% of the original value Variable tolerance should add to (0.04 – 0.01) = 0.03 Variable tolerance actually add to (0.05 + 0.025) = 0.075 All variable parts’ tolerance must be adjusted to 0.3/0.073 = 40% of the original value

Part III The third stage involves a statistical analysis called Monte Carlo simulation. Basically each of the dimensions is varied randomly and the gap is calculated. This random calculation is repeated hundreds or thousands of times. For each iteration, the individual gap value is calculated and stored in an array and in a file. The array of values will be used to compute the mean and standard deviation of the gap. The file will be opened using a spreadsheet program to graph a histogram, calculate an average, and calculate the standard deviation, which should match the result from your program. These values will then be used to estimate the number of rejected assemblies during production. It is reasonable to assume that the tolerance for a part is 3 standard deviations (99.73% of parts will fall within the tolerance). So for any part, we can generate random realistic values by taking the nominal value and adding/subtracting a random number, which represents variations due to the tolerance. To do this, we will need to generate a specific type of random numbers. The standard random number function in most programming language (rand() in C included) has a uniform distribution. This means that if we are finding random numbers from 0.0 to 1.0, the probability of getting 0.5 is the same as getting 0.1. This is not realistic for our application, since it will be more likely that we have our dimensions change by 0.1 than it is 0.5. For this reason, we need to modify the numbers from the rand() function so that they have a Gaussian (Normal) Distribution, which is sometimes referred to as the “bell curve”. This can be accomplished by using the Box-Muller Transformation. Although it sounds complicated, this transformation can be easily done and applied to generate a random dimension with the code given. Summary of Part 3: Apply the random_dimension() function below to get an output of a random_value of each part that will follow the explanation above. This will create a statistically likely value for each dimension given that you can then use to rerun the “actual mean gap” calculation from Part 1 1000 times. For each calculation, have the program store the value as a line in a text file (.csv extension.) You’ll be able to open this file up using Excel as a .csv file. In Excel, graph a histogram, calculate the average gap of all assemblies (of parts), and the standard deviation of the gap of all assemblies. void random_dimension(double nominal, double tolerance, double *random_value){ double r1, r2, r12; double sigma = tolerance / 3; do{ r1 = (double)( rand() % 10001 ) / 10000; }while(r1==0); r2 = (double)( rand() % 10001 ) / 10000; r12 = sqrt(-2*log(r1))*cos(2*M_PI*r2); *random_value = nominal + sigma * r12; }

Introduction:

As a healthcare professional, you will work to improve and maintain the health of individuals, families, and communities in various settings. Basic statistical analysis can be used to gain an understanding of current problems. Understanding the current situation is the first step in discovering where an opportunity for improvement exists. This course project will assist you in applying basic statistical principles to a fictional scenario in order to impact the health and wellbeing of the clients being served.

This assignment will be completed in phases throughout the quarter. As you gain additional knowledge through the didactic portion of this course, you will be able to apply your new knowledge to this project. You will receive formative feedback from your instructor on each submission. The final project will be due on week 10.  

Scenario:

You are currently working at NCLEX Memorial Hospital in the Infectious Diseases Unit. Over the past few days, you have noticed an increase in patients admitted with a particular infectious disease. You believe that the ages of these patients play a critical role in the method used to treat the patients. You decide to speak to your manager and together you work to use statistical analysis to look more closely at the ages of these patients. You do some research and put together a spreadsheet of the data that contains the following information:

Client number

Infection Disease Status

Age of the patient

You need the preliminary findings immediately so that you can start treating these patients. So let’s get to work!!!!

Background information on the Data:

The data set consists of 60 patients that have the infectious disease with ages ranging from 35 years of age to 76 years of age for NCLEX Memorial Hospital. Remember this assignment will be completed over the duration of the course.

Perform the hypothesis test

Claim: The average age of all patients admitted to the hospital with infectious diseases is less than 65 years of age. Test the claim using alpha=0.05 and assume you data is normally distributed and sigma is unknown.

Document the following steps.

1. Write the null and alternative hypothesis symbolically and identify which hypothesis is the claim.

2. Is the test two-tailed, or right-tailed? Explain

3. Which test statistic will you use for your hypothesis test; z-test or t-test? Explain.

4. What is the value of the test statistic? Show your calculation

5. What is the P-value? Explain how you determined it.

6. What is the critical value? Explain how you calulated it.

7. What is your decision? Reject the null or do not reject the null? Explain why you made your decision including the results for your p-value and the critical value.

8. State the final conclusion in non-technical terms.

Please show your work for the construction of the test-statistic and explain your process for finding the p-value and critical value. You may use the Equation Editor to format your calculation steps on the Word document or attach an Excel spreadsheet clearly showing each calculation for #B4 and #B5, but your answers still need to appear on the Word document. Also, be sure to number each response in your paper using the same numbers as above