## 4 STAT-2002 Discussion Week Applying Confidence Intervals to Make Predictions Solutions

To prepare for this Discussion:

• Review this week’s Learning Resources.
• Refer to the scenario described above and consider who is ahead in the race and why.
• Review the Academic Writing Expectations for 2000/3000-Level Courses, provided in this week’s Learning Resources.

#### By Day 3

Post a 75- to 150-word (1- to 2-paragraph) explanation of how you applied confidence intervals to make predictions about the outcome of a political campaign. In your explanation, address the following:

• After reviewing both polls, what is now known about who might be ahead in the race? Explain who is ahead and why.
• Explain what the implications of these polls are for the campaign managers for Gail and Raymond.
• To support your response, be sure to reference at least one properly cited scholarly source.

## STAT-2002 Assignment Week 5 Testing a Manufacturer’s MPG Claim Part 2

By Day 7

Submit Part 2 of your report (including the Conclusion) according to the following prompts.

Part 2: Hypothesis Testing: Two-Tail Test and One-Tail Test

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.

## STAT-2002 Discussion Week 5 Null and Alternative Hypotheses and Type I and Type II Errors

By Day 3

Post a 150- to 225-word (2- to 3-paragraph) explanation of the role of null and alternative hypotheses as well as type I and II errors in situations where people use statistics as evidence. In your explanation, address the following:

• Identify, briefly, the null and alternative hypotheses involved in the news story you located, as well as explain what the author(s) is trying to prove.
• Describe what the implications might be if the author(s) rejected the null and if the author(s) could not reject the null.
• Explain the impact of potential type I and/or type II errors.
• To support your response, be sure to reference at least one properly cited scholarly source.

By Day 5

## STAT-2002 Assignment Week 6 Using Statistical Process Control to Manage Processes

By Day 7

Submit your presentation based on the following prompts.

Part 1: Explaining Statistical Process Control (8–10 slides, with speaker’s notes)

• Define statistical process control (SPC) and briefly describe the history of SPC, focusing on its origins. (2 slides)
• Provide an example of a control chart (either one you create or one you locate on the web) and label the parts of the chart. (1 slide)
• Describe the derivation of the center line and control limits on a control chart and the meaning of each. (1–2 slides)
• Explain the two types of process variation—common cause and special cause. (2 slides)
• Describe at least two signals of special cause variation that might be detected in a control chart. (2–3 slides)

## STAT-2002 Discussion Week 6 The Red Bead Experiment

By Day 3

Post a 225- to 300-word (3- to 4-paragraph) explanation of how successful the Red Bead experiment was and how an example of the experiment in the workplace can be fixed. In your explanation, address the following:

• Explain your thoughts on the working climate at the White Bead Company.
• Describe what the advantages and disadvantages of the inspection system are. Were the strategies that management tried successful in improving workers’ performance? Explain why or why not.
• Provide an example of a situation similar to the Red Bead experiment that you have experienced in the workplace or have heard someone else describe. Explain how you might improve it.
• To support your response, be sure to reference at least one properly cited scholarly source.

By Day 5

Respond with at least 75 words (1 paragraph) each to two or more of your colleagues’ postings by doing one of the following

## STAT-2002 Assignment Week 4 Testing a Manufacturer’s MPG Claim Part 1 Solutions

Assignment: Testing a Manufacturer’s MPG Claim: Part 1

Note: This Assignment consists of two parts. You will complete and submit Part 1 this week, and you will complete and submit Part 2 in Week 5.

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

To prepare for this Assignment:

• Review this week’s Learning Resources.
• Refer to the scenario above and the data that was provided by the car company.
• Refer to the Academic Writing Expectations for 2000/3000-Level Courses as you compose your Assignment.

By Day 7

## STAT-2002 Assignment Week 3 Applying Probability Distributions

By Day 7

Submit your responses to the following prompts.

• A market-research firm was hired to determine the percentage of people in a market area who would purchase a client’s magazine if a door-to-door sales campaign were undertaken. The firm stated that 40% would buy if contacted at home. Suppose the marketing company has tried the sales campaign at 300 randomly selected homes. (150–225 words, or 2–3 paragraphs)
• Assuming the market research was done properly and the 40% is representative, how many sales are expected if the publisher attempts to sell to 5,000 homes?
• If the market research was accurate, what is the probability that fewer than 100 individuals will buy? Use the normal approximation to the binomial.
• Suppose that the publisher actually sells the magazine to 70 people out of the 300 contacted. What would you conclude about the market research? About the campaign?

## STAT-2002 Discussion Week 3 Applying Confidence Intervals to Make Predictions

By Day 3

Post a 150- to 225-word (2- to 3-paragraph) explanation of how probability distributions affect management decisions. In your explanation, address the following:

• Provide your results of the following:
• The range within which 90% of the prices of cigarettes in your area falls
• The chances of anyone paying less than 4 dollars for a pack of cigarettes
• The chances of anyone paying more than 10 dollars for a pack of cigarettes
• Describe what implications this concept has for management decision making.
• Explain how you might use information like this in your current work.
• To support your response, be sure to reference at least one properly cited scholarly source.

By Day 5

Respond with at least 75 words (1 paragraph) each to two or more of your colleagues’ postings by doing one of the following

## STAT-2002 Discussion Week 2 The Monty Hall Dilemma and Probability

To prepare for this Discussion:

• Review this week’s Learning Resources, focusing in particular on the Monty Hall Dilemma and Probability section.
• Consider your initial thoughts on the Monty Hall dilemma as you are introduced to the concept, and be mindful of how your assumptions might change after you have finished reviewing the resources.
• Review the Academic Writing Expectations for 2000/3000-Level Courses, provided in this week’s Learning Resources.

By Day 3

Post a 150- to 225-word (2- to 3-paragraph) explanation of how the Monty Hall dilemma can be applied to management decisions. In your explanation, address the following:

• Explain your thoughts on the Monty Hall dilemma, including what the correct choice is and why, any challenges you may have faced in accepting the answer, and how your opinion may have changed while reviewing this week’s Learning Resources. For example, do you still have a difficult time accepting the results?
• Managers often make decisions about problems that have similar amounts of uncertainty as the Monty Hall

## STAT-2002 Assignment Week 2 Applying Probability Theory Solutions

To prepare for this Assignment:

• Review this week’s Learning Resources.
• Refer to the Academic Writing Expectations for 2000/3000-Level Courses as you compose your Assignment.

By Day 7

Submit your responses to the following prompts.

• A midsized company recently divided all employees into four divisions. Division 1 makes up 43% of the company, Division 2 makes up 40%, Division 3 makes up 12%, and Division 4 makes up 5%. Choose one employee at random. Find the probability for each of the following statements. (75 words, or 1 paragraph)
• The employee belongs to Division 1.
• The employee belongs to either Division 2 or Division 3.
• The employee does not belong to Division 1 or Division 2.