Question: A study is designed to test the hypotheses H0: 26 versus Ha: 26. A random sample of 50 units was selected

A study is designed to test the hypotheses H0: μ ≥ 26 versus Ha: μ ≥ 26. A random sample of 50 units was selected from a specified population, and the measurements were summarized to y = 25.9 and s = 7.6.
a. With α = .05, is there substantial evidence that the population mean is less than 26?
b. Calculate the probability of making a Type II error if the actual value of the population mean is at most 24.
c. If the sample size is doubled to 100, what is the probability of making a Type II error if the actual value of the population mean is at most 24?

Step by Step Solution

★★★★★

3.41 Rating (170 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a z 259 26 76 50 009 1645 z 005 Because the observed value o... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

595-M-S-S-I (3783).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

A study is designed to test H0: p = 0.50 against Ha: p > 0.50, taking a random sample of size n = 100, using significance level 0.05. a. Show that the rejection region consists of values of p 7...

Suppose that a study is designed to choose between the hypotheses: Null hypothesis: Population proportion is 0.25. Alternative hypothesis: Population proportion is higher than 0.25. On the basis of a...

Do students reduce study time in classes where they achieve a higher midterm score? In a Journal of Economic Education article (Winter 2005), Gregory Krohn and Catherine OConnor studied student...

asic asic 5.16 A study is designed to test the hypotheses Ho: 26 versus Ha:

5 16 A study is designed to test the hypotheses Ho 26 versus H 26 A random sample of 50 units was selected from a specified population and the measurements were summarized to y 25 9 and s 7 6 a With...

A study is designed to test the hypotheses Ho 26 versus H 26 A random sample of 50 units was selected from a specified population and the measurements were summarized to y 25 9 and s 7 6 a With a 05...

A study is designed to test test hypotheses Ho: = 26 vs. Ha:

b. In the automobile parts supplier's hypothesis test of Ho : M= 3 versus Ha: # # 3, find the sample size needed to make the probability of a Type I error equal to .05 and the probability of a Type...

Provide an appropriate response. 1.The table below shows the number of homicides in the U.S. in each of the years 1989-1993 Classify the study as either descriptive or inferential. Descriptive...

Use the p-value method to conduct the hypothesis test. 1.A waste management service attempts to design routes so that each of their trucks pick-up on average four tons of garbage or less.A garbage...

Define and provide examples of rape myths.

Art Burtscher has a choice of investing $10,000 at either 5 percent simple interest or 5 percent compound interest that is compounded annually. What will be the difference between the total amount of...

Assume that an all - equity ( unlevered ) firm has a return on assets ( ROA ) of 1 8 . 0 0 percent. Now assume that this firm issues debt and uses the proceeds to buy back common stock, where the...

The equation 50 = 5X + 10Y is equivalent to a. Y = 500 50X b. Y = 500 + 50X c. Y = 5 0.5X d. Y = 5 + 0.5X

The file S03_30.xlsx contains monthly data on exchange rates of various currencies versus the U.S. dollar. It is of interest to financial analysts and economists to see whether exchange rates move...

The file S02_35.xlsx contains data from a survey of 500 randomly selected (fictional) households. a. Create a table of correlations between the last five variables (First Income to Debt). On the...

We have indicated that if you have two categorical variables and you want to check whether they are related, the best method is to create a crosstabs, possibly with the counts expressed as...

5 Your firm purchased machinery for $9.7 million and received immediate 100% bonus depreciation. The project will end after 5 years. If the equipment can be sold for $4.2 million at the completion of...

m Caspian Sea Drinks is considering the purchase of a new water filtration system produced by Rube Goldberg Machines. This new equipment, the RGM-7000, will allow Caspian Sea Drinks to expand...

Three mutually exclusive highway bridge projects are under consideration by a governmental agency. Which of three bridges, if any, should be recommended to the governmental agency? Use incremental...