What would constitute a type one error in the case

Assignment Help Applied Statistics

Reference no: EM131507962

Assignment

1. A nylon rope maker claims its repelling rope's average breaking strength is at least 800 pounds. A researcher sets up a hypothesis test regarding the breaking strength of the rope where Ho: μ ≤ 800. where α = .05.

a. Rewrite his null and alternative hypotheses as complete sentences. What does the hypothesis suggest about where the benefit of the doubt is being placed? Explain your answer.

b. What does it mean to make a type I error, and, specifically, what would constitute a type one error in this case?

c. In this case, is it appropriate to use α = .05? Explain why or why not.

d. What would we conclude if the sample average was much larger than 800 pounds?

e. What would we conclude if the sample average was slightly less than 800 pounds?

f. What if the sample average is much less than 800?

2. Pennsylvania Governor Tom Ridge has a longstanding reputation for being "tough on crime." His opponent is currently running ads that dispute this. Before Ridge took office, the average criminal spent 12.5 years in prison before parole. Ridge's opponent says that a random sample of forty-nine recent parolees spent an average of only eleven years in prison (the standard deviation in the sample was fourteen years). Assuming you work for an independent newspaper, evaluate the claim made by the Ridge opponent. What would you report to your readers? Test at the 05 percent level of significance.

3. Using the last problem calculate the 95 percent confidence interval. Interpret this interval.

Reference no: EM131507962

Questions Cloud

Draw the cash flow diagram from the investors perspective : Cleveland State University is selling bonds to fund a new Convocation Center. Draw the cash flow diagram from the investors perspective.

Degree of operating-financial and total leverage for firm : Compute the degree of operating, financial, and total leverage for firm W. Compute the relative risk of the two firms.

Explains the role of the brain in cognitive functions : Describes what Phineas Gage's accident revealed about how brain areas support cognitive function.

Critically analyse the challenges in terms of security : Communication and Server Administration (COMP 30005) Discuss issues affecting enterprise mobility in terms of communication, organization and technology.

What would constitute a type one error in the case : What does it mean to make a type I error and specifically, what would constitute a type one error in this case? What if sample average is much less than 800?

Locate a real instance of a quid pro quo donation : Locate a real instance of a quid pro quo donation that was scrutinized and explain the case.

Financial sections of your nab companys business plan : Develop the following financial sections of your NAB company's Business Plan.

Who are the project stakeholders : Who are the project stakeholders? How will they be involved in the project? Who should be the project sponsor? Why?

What would you do if you were the department manager : You are the manager of the maintenance department of a hotel. You are paid a basic salary, plus a bonus.

User Account

All Pages