When selecting a sample, there are several methods of selection available.

A company with hundreds of employees has hired a third party human resources agency. The agency is to study the employees and their level of job satisfaction, and to discover if the company needs to change anything about its management of human resources.

As part of this study, the agency wants to survey a selection of employees from within the company. Four members of the agency propose four different sampling plans for the survey.

Alvin: 'The marketing department of the company is reflective of the rest of the company in terms of job satisfaction. We should simply survey that department.'

Bonnie: 'We have access to the names of every employee in the company. We should survey 50 people from the company by putting every name in a list and choosing 50 names completely at random.'

Crystal: 'The company is made up of 60% men and 40% women. I believe that men and women will have different levels of job satisfaction, and we should force our sample to have 60% men and 40% women.'

Donald: 'As Bonnie says, we should put every name in a list. However, we should only pick one person at random, from the first ten people on the list, and then pick every tenth person thereafter.'

a)The member that is proposing a cluster sample is:

1) Alvin
2) Bonnie
3) Crystal
4) Donald

b)From the list below, select the correct statement about sampling selection methods:

1) Systematic sampling guarantees that every sample of a given size stands an equal chance of being selected.
2) Stratified sampling guarantees that every sample of a given size stands an equal chance of being selected.
3) Cluster sampling guarantees that every sample of a given size stands an equal chance of being selected.
4) None of the above statements are correct.

A bank has been losing customers over the past year. Whenever a customer closes their account with the bank, they are always asked why (so the bank has some idea of the services that it needs to improve). However, it would like to gather more information on what its current customers think, to see if there are any other areas that it needs to work on.

The bank has 100,000 customers. Every customer name is put into an ordered list, effectively giving each customer a number from 1 to 100,000. The bank then generates 500 unique random numbers between 1 and 100,000 and selects the customers that correspond to these numbers. The bank surveys these 500 customers.

This is an example of:

A computer training group would like to compare the effectiveness of two modes of training. The first mode of training is a short 20 minute interactive one-on-one tutorial with the participant and the second mode is a one hour video that the participant watches.

A random sample of 100 people are invited to take part in the tutorial, which is followed by a test to measure competency at the tasks covered. The proportion of people that pass this test (to 2 decimal places) is 0.36. Similarly, a random sample of 175 people are invited to watch the video, which is also followed by the same test. The proportion of people that pass this test (to 2 decimal places) is 0.48.

Let Pi symbol1 denote the population proportion of people that would pass the competency test after taking the tutorial. Similarly, let Pi symbol2 denote the population proportion of people that would pass the competency test after watching the video.

Construct a 95% confidence interval for the difference between these two proportions (Pi symbol1 - Pi symbol2). Give your answers to 3 decimal places. You may find this standard normal table useful.

≤ Pi symbol1 - Pi symbol2 ≤

Problem 9-13 (Algorithmic)

Romans Food Market, located in Saratoga, New York, carries a variety of specialty foods from around the world. Two of the store’s leading products use the Romans Food Market name: Romans Regular Coffee and Romans DeCaf Coffee. These coffees are blends of Brazilian Natural and Colombian Mild coffee beans, which are purchased from a distributor located in New York City. Because Romans purchases large quantities, the coffee beans may be purchased on an as-needed basis for a price 11% higher than the market price the distributor pays for the beans. The current market price is $0.47 per pound for Brazilian Natural and $0.62 per pound for Colombian Mild. The compositions of each coffee blend are as follows:

Romans sells the Regular blend for $3.2 per pound and the DeCaf blend for $4.3 per pound. Romans would like to place an order for the Brazilian and Colombian coffee beans that will enable the production of 900 pounds of Romans Regular coffee and 500 pounds of Romans DeCaf coffee. The production cost is $0.89 per pound for the Regular blend. Because of the extra steps required to produce DeCaf, the production cost for the DeCaf blend is $1.09 per pound. Packaging costs for both products are $0.25 per pound. Formulate a linear programming model that can be used to determine the pounds of Brazilian Natural and Colombian Mild that will maximize the total contribution to profit.

If required, round your answers to three decimal places. For subtractive or negative numbers use a minus sign even if there is a + sign before the blank. (Example: -300)

The complete linear program is

What is the contribution to profit?

Optimal solution:

If required, round your answer to two decimal places.

Value of the optimal solution = $  

The Westchester Chamber of Commerce periodically sponsors public service seminars and programs. Currently, promotional plans are under way for this year’s program. Advertising alternatives include television, radio, and online. Audience estimates, costs, and maximum media usage limitations are as shown:

To ensure a balanced use of advertising media, radio advertisements must not exceed 50% of the total number of advertisements authorized. In addition, television should account for at least 10% of the total number of advertisements authorized.

1. If the promotional budget is limited to $18,800, how many commercial messages should be run on each medium to maximize total audience contact? What is the allocation of the budget among the three media? If required, round your answers to the nearest dollar.

   Let	T = number of television spot advertisements
   	R = number of radio advertisements
   	O = number of online advertisements

   	Budget ($)
   T =
   R =
   O =
   	Total Budget = $

   
   What is the maximum total audience that would be reached? Round your answer to the nearest whole number.
   
   
2. By how much would audience contact increase if an extra $100 were allocated to the promotional budget? Round your answer to the nearest whole number.

7.)     The average cholesterol content of Mighty Taco’s Super Mighty Burrito is 95 mg with a standard deviation of 7.2. Assume the variable is normally distributed.

(a)    If a single Super Mighty Burrito is purchased, find the probability it will have less than 100 milligrams of cholesterol.

(b)    If you purchase a Super Mighty 4 pack, which consists of 4 Might taco Super Mighty Burritos, find the probability that the mean of the sample will be larger than 100 milligrams of cholesterol.

Companies often develop and test hypotheses about their products. For example, car manufacturers will test their cars to determine fuel efficiency and miles per gallon. To ensure that products are safe and that they perform as advertised, regulatory and consumer protection groups also test companies’ claims.

For this Assignment, you are working at a firm that conducts independent testing for heavy industry. Recently, an automobile manufacturer has been in the news for complaints about the highway gas mileage of their latest model minivan. You receive a contract from a consumer action group to test and write a report on the company’s claim that its minivans get 28 miles per gallon on the highway. The car company agrees to allow you to select randomly 35 low-mileage fleet minivans to test their highway mileage. Your test results gave you the following data:

29.7     24.5     27.1     29.8     29.2     27.0     27.8     24.1     29.3

            25.9     26.2     24.5     32.8     26.8     27.8     24.0     23.6     29.2

            26.5     27.7     27.1     23.7     24.1     27.2     25.9     26.7     27.8                

            27.3     27.6     22.8     25.3     26.6     26.4     27.1     26.1

Complete the following and include your results and responses in your report (use alpha = 0.05):

• List the null and alternative hypotheses for the two-tail test for the mean. Calculate the observed value of the test statistic and the associated p-value. (75–150 words, or 1–2 paragraphs)
  • Is the observed test statistic in the critical region? Is the p-value higher or lower than your alpha? (75–150 words, or 1–2 paragraphs)
  • Note: Include your calculations. If your calculations are submitted separately, make note of where they can be found.
• List the null and alternative hypotheses for the one-tail test of the mean. Calculate the observed value of the test statistic and the associated p-value. (75–150 words, or 1–2 paragraphs)
  • Is the observed test statistic in the critical region? Will the p-value be higher or lower than your alpha? (75–150 words, or 1–2 paragraphs)
  • Note: Include your calculations. If your calculations are submitted separately, make note of where they can be found.

Conclusions

In your report, use the confidence interval information and the results of the hypothesis testing to provide support for your conclusions and recommendations to the company. Specifically:

Question 1. What conclusions did you reach? What did you learn about the situation by using each method? Did one method offer more conclusive proof than another? (150–225 words, or 2–3 paragraphs)

Question 2. Based on your results, do you support the company’s claim that their minivans get 28 miles per gallon? (75 words, or 1 paragraph)

Question 3. Summarize the details of your test methods and the results from each statistical method you used. Explain the findings so that executives from both the agency and the company can understand your conclusion. (150–225 words, or 2–3 paragraphs)

Question 4. Finally, present recommendations for actions that the company might take to use your findings to better serve their customers in the future. (75 words, or 1 paragraph)

3) In the data from the first problem, one of the scores of a winning team was 131 points. Use what you learned in CH. 3-2, plus the calculated mean and standard deviation, to answer the following question: Is 131 points an unusual score for this group of data? Why or why not? Support your answer by telling me what you did to come to your conclusion. Calculated MEAN (round to the nearest whole number):

FREQUENCY DISTRIBUTION TABLE

Calculate the measures of forecast error using the naive (most recent value) method and the average of historical data (to 2 decimals).

A study was performed comparing the efficacy of a new pain reliever, Galproxidone, to several pain relievers commonly prescribed after orthopedic surgury. Patients were asked to rate their pain after taking each medication. The data is listed below. Perform an ANOVA to determine the relative efficacy of Galproxidone on pain relief compared to the other pain relievers. If differences exist, perform a Bonferoni post-hoc test to determine which pain relievers are different from Galproxidone. Interpret the final results in terms of relative efficacy of the pain relievers.

A local anime fan club surveyed its members regarding their viewing habits last weekend, and the following information was obtained: 37 members had watched an episode of Naruto, 47 had watched an episode of Death Note, 23 had watched both an episode of Naruto and an episode of Death Note, and 12 had watched neither Naruto nor Death Note. (Round your answers to three decimal places.) (a) What percent of the club members had watched Naruto or Death Note? % (b) What percent of the club members had watched only Naruto? % (c) What percent of the club members had watched only Death Note? %

A Chi-square test for goodness of fit is used to evaluate preferences for 8 different designs of a new automobile. With a sample of n = 500 the researcher obtained a Chi-square statistic of Chi² = 15.81. What is the correct statistical decision for this outcome (assume p <.05)?

• A. Reject the null hypothesis and conclude that there is no significant difference in preferences.

• B. Reject the null hypothesis and conclude that there is a significant difference in preferences.

• C. Fail to reject the null hypothesis and conclude that there is no significant difference in preferences.

• D. Fail to reject the null hypothesis and conclude that there is a significant difference in preferences.

Suppose the mean income of firms in the industry for a year is 55 million dollars with a standard deviation of 3 million dollars. If incomes for the industry are distributed normally, what is the probability that a randomly selected firm will earn less than 60 million dollars? Round your answer to four decimal places.

Test the hypothesis (at the .05 level of significance) that individuals who were bullied are more likely to bully others. Test the hypothesis (at the .05 level of significance) that individuals who were bullied committed more bullying than those who were not bullied

Explain the difference between convenience, non-probability, probability, stratified, clustered, and systematic samples.

Write a multi-paragraph response.

I just need each topic explained simply so I can understand and write the paragraphs

Part II: Linear Programming Model- Forbelt Corporation has a one-year contract to supply motors for all refrigerators produced by the Ice Age Corporation. Ice Age manufacturers the refrigerators at four locations around the country: Boston, Dallas, Los Angeles, and St. Paul. Plans call for the following number (in thousands) of refrigerators to be produced at each location: Boston 50 Dallas 70 Los Angeles 60 St. Paul 80 Forbelt’s three plants ae capable of producing the motors. The plans and production capacities (in thousands) are as follows: Denver 100 Atlanta 100 Chicago 150 Because of varying production and transportation costs, the profit that Forbelt earns on each lot of 1000 units depends on which plant produces the lot and which destination it was shipped to. Ship to: Produced At: Boston, Dallas, Los Angeles ,St. Paul Denver 7 , 11 . 8 13 Atlanta 20 17 . 12 10 Chicago 8 18 13 16 With profit maximization as a criterion, Forbelt’s management wants to determine how many motors should be produced at each plant and how many motors should be shipped form each plant to each destination. Find the optimal solution.

* I have the solution to the above problem, I need help with calculating profit (ex, when distribution changes)