A group of participants was surveyed and the information collected shown in the partially completed contingency table below regarding gender and the attitudes on abortion. Firstly, calculate the missing values.

Now, using the completed contingency table, select the statements from the following list that are true.   Note: a statement is true only if the value you calculated from the completed contingency table, when rounded to the same number of decimal places as in the statement, is the same as the value in the statement.  

Explain the Chi – Square test and when it is appropriate. Give example of such test.

You toss a pair of fair six-sided dice 30 times. What is...

The probability that none of the 30 throws give a total of 12?

The probability that a total of 7 appears 5 or more times?

This question is an extension from Q2 above. The high school teacher was also interested in whether there is a gender difference in terms of the student’s choice of majors. So he broke the data down by gender in the following table and conducted a Chi-square test for independence with α = .05.

a. What are the variables in this analysis? What scale of measurement is each variable (nominal, ordinal, or continuous)? (2 points total: 1 for each variable- .5 for variable name, .5 for variable type)

b. State the null and alternative hypotheses in words (1 point total: .5 for each hypothesis)

c. Calculate X2 statistic (2 points total: 1 for final answer, 1 for the process of calculating it)

d. Calculate the degree of freedom and then identify the critical value (1 point total: .5 for df, .5 for critical value)

e. Compare the X2 statistic with the critical value, then report the hypothesis test result, using “reject” or “fail to reject” the null hypothesis in the answer (1 point total, .5 for each answer)

f. Explain the conclusion in a sentence or two, to answer the research question. (1 point)

This exercise assumes familiarity with counting arguments and probability.

Kent's Tents has four red tents and three green tents in stock. Karin selects four of them at random. Let X be the number of red tents she selects. Give the probability distribution. (Enter your probabilities as fractions.)

Find

P(X ≥ 2).

(Enter your probability as a fraction.)

P(X ≥ 2) =

1) You and a friend are talking about the probability of getting a heads on a single toss of a fair coin. Your friend insists that you are more likely to get a heads on a single toss of a fair coin than a tails. Is your friend correct, why or why not? If we were to toss the fair coin an infinite number of times, what would we expect?

2) What does it mean for two probabilities to be mutually exclusive? Provide an example of probabilities that are mutually exclusive.

Mathematical, what is the difference between Weighted and Regular Mean? Technical, they are both averages. How does each measure uniquely find the center of a distribution?

For the following, Use the five-step approach to hypothesis testing found on page 8-16. It states. You can use excel to compute the data or you can do it by hand. The youtube videos provided in the links will walk you through the steps to complete the following problems.

1. State the hypothesis and identify the claim.

H0:

H1:

2. Find the critical value and determine what error level to use. For all the problems on this homework use an alpha level of .05 Determine if the test is right tailed, left tailed or non-directional.
3. Compute the test Value It will be a Chi Square
4. Make a decision to reject or fail to reject the null hypothesis.
5. Summarize the results

Problem #3 You are a researcher who wants to know if there is a significant difference in teenagers who show aggressive behavior after watching violent video games. You, as a researcher, observe both males and females to find observed behavior after watching violent video games. Behavior observed will include cursing, yelling, pushing, punching or any gestures that resemble a threat. After your observation, you collect the following data. Use a chi square to test your hypothesis. Use table G to find the critical value and region to help you make your decision to reject or fail to reject the HO: Remember to find the degrees of freedom Rows-1 times columns -1 Use an alpha of .05. Watch instructional to help you through the steps.

please solve with the same exact data given not any example or illustration

Suppose the administrator of a clinic is interested in the number of visits per person per year for those that are insured. After selecting 15 people the number of visits was recorded as the following:

By using Excel,  data analysis,  five numbers summary, and the Rubric.docx

Answer the following Question, Submit both (Excel file and word document)

1. The mean, mode, median of the annual number of visits.

2. Five points summary [ first Quartile, Second Quartile, third quartile, Maximum and Minimum]

3. Draw the box and whisker plot                                                                                                                                      

4. Range,  IQR                                                                                                                                                        

5. What is variance and standard deviation?

• Why would knowing the variance and standard deviation of a distribution for a given data point be important for a Healthcare Administrator? 

6. The skewness (Indicate if it is positively/negatively skewed) look over the video.

• What would it mean if the distribution was negatively or positively skewed? 

• Why would this information be important for a Healthcare Administrator to know?  

7. Do you have outiler in the number of visit? (if no explain how can you tell?)

8.Write a summary regarding the number of visits using the above information. [at least 500 words]

   Ovservation   Portland   Houston   Jacksonville  
   1 85 71 64  
   2 75 75 69  
   3 82 73 67  
   4 76 74 74  
   5 71 69 80  

6 85 82 72

National Bearings manufactures bearings at plants located in Portland Oregon, Houston Texas, and Jacksonville Florida. To measure employee knowledge of Total Quality Management (TQM), six employees were randomly selected at each plant and tested. The test scores for these employees are given in DATA. Managers want to know if, on average, knowledge of TQM is equal across the 3 plants. Test equality of mean scores at Alpha = 0.05 .

What is the F value? p value? F critical value?

Do we reject equality mean or not? Is knowledge of TQM equal across all 3 plants or not?

Can two events A and B be independent of one another and disjoint? explain what conditions are needed for this to happen?

A company makes cream (for face and hand) bottles that contain a mean amount of therapy cream of 650 ml per bottle as indicated on the label. To monitor its quality, the company randomly selected 100 bottles from the production line and the sample mean amount of cream was 640 ml per bottle. Assume that the amount of cream follows a normal distribution with a standard deviation of 4 ml . Is there evidence at 0.01 level of significance to conclude that the population mean amount of cream is not 650 ml per bottle? Use the confidence interval approach

Manufacturer          
A   B   C   D
25   23   25   27
23   21   25   26
21   23   25   27
23   24   21   26
To test whether the mean time needed to mix a batch of material is the same for machines produced by 4 manufacturers, the Jacobs Chemical Company obtained the following data on the time (in minutes) needed to mix the material.

What is the p value?

Does the data provide strong evidence evidence against Ho or weak evidence?

Are the mixing machine considered all equal?

Suppose the amount of time to finish assembling a component is exponentially distributed with an average of 2 minutes.

(a) What is the probability that it takes more than 5 minutes to assemble a component? (b) If 100 components are randomly selected, what is the probability that the average amount of time to assemble these100 components is more than 2.3 minutes?

Make Versus Buy Case ABC Ltd. is a manufacturing company engaged in the manufacturing of valves. They have been in the business for last 3 years and have been manufacturing only one type of valves. They started their business initially with sales of 10,000 valves per month and now they have grown the volume to about 50,000 valves per month. They have been buying all the raw material for the valve and were doing all the manufacturing in house. Now they have established themselves in the market and are planning to expand and produce different varieties of valves. They have their plant in the main city and the total area of the plant is 50,000 sq. ft. Now if they want to expand and continue doing all the activities of manufacturing of all the varieties in house, they would need another 50,000 Square feet of the area. In the recent times, the land prices in the area have more than doubled in the last 3 years and still land is available with great difficulty. Mr Mohan is the production head of ABC Ltd. and has been successful with the production and the level is continuously increasing. But in recent times, he is facing the problem of quality complaints which have gone up from average 0.2 % in previous 2 years to 0.5 % this year. Also, he is finding that there is a high level of dissatisfaction among the workers regarding workload as well as salary levels. The workers are regularly complaining about the over work. Although, Mr Mohan has found that the workers have been spending lot of time on tea breaks, lunch breaks and even in between the production spending lot of time talking to each other. But, due to insufficient workers and staff, he is unable to take strict action and the workers are taking advantage of this situation. For completing the work and delivering the products timely, he has to employ workers on overtime and his overtime cost has also increased 3 times. Mr Mohan is worried about the new expansion plan of the management and is worried where the new workers would come from as he is already finding shortage of workers for the existing job. He has requested the management not to go for expansion immediately and look at improving and consolidating the existing set up. He has sent his request to Mr S. Kumar Director – Operations. Mr Kumar has gone through the request of Mr Mohan and called a meeting of all the department heads and explained the situation to all concerned. The marketing manager has expressed very bullish prospect about the company’s growth and said that the company should take advantage of growing economy and established brand image of the company and definitely go for expansion. The finance manager also expressed that this will result in economy of scale for the products and will further increase the profitability of the products. Mr Mohan again expressed his problems regarding availability of manpower as well as production control and effect on quality and productivity. The Marketing manager asked the Production manager about the option of outsourcing. Mr Mohan is sceptical about the outsourcing option as he felt that the outside agency will always charge more as he will try to make his profit as well and also is worried about the possible problems of deliveries. Mr Kumar asked the Mr Naresh who is the Purchase manager about his views. He said that since the suppliers would also be interested in doing the business, they would not like to delay as with delay they also incur loss. The Finance manager said that we can look at cost comparison for buying against in house manufacturing. After listening to all the views, Mr Kumar told Mr Mohan to work out the cost of production for future sales as per the forecast given by the Marketing department. He also told Mr Naresh to collect the details of the future requirements to get the purchase cost details for few components of the valve. Mr Mohan and Mr Naresh have collected their data and they have presented the data in the meeting called by Mr Kumar to review the plan. First the marketing head Mr Suresh presented his market forecast and then Mr Mohan presented his report and explained the details as follows. One supervisor with monthly salary of $5000 with expected increase of 10 % per year. Direct wages of worker as $4 per unit. With 10 % reduction in second year, no change in 3rd year and increase of 10 % every subsequent year. Material cost of $14 per unit with an increase of 10 % every year. Power and fuel cost of $2 per unit with increase of 10 % every year. Indirect labour as 50 % of direct labour. They will have to buy a new machine with a cost of $50 lac. With usable life of 5 years Mr Naresh explained his details as follows: Component price from supplier at $20 for the first 2 years with an increase of 10 % every subsequent year. Transportation cost of $2 per unit for the first year with increase of $0.20 every subsequent year. Inventory cost (storage cost) as 5 % per year of the basic material cost. The Marketing manager has given the sales forecast for next 5 years as follows:

Year                1                     2                      3                      4                      5

Sales quantity 300000             500000            700000            900000            1000000

Questions 1. Based on this data, is it economical for ABC Ltd.to go for buying the product from market or manufacturing in house.

Question 2. What other factors should ABC Ltd. look at for making this decision?

Question 3. What factors of quality are important to make the final decision whether to manufacture in house or procure?

Reasonable assumptions that are not stated in the case will be accepted.