Reference no: EM132581615

Q1. John Calipari, head basketball coach for the 2012 national champion University of Kentucky Wildcats, is the highest paid coach in college basketball with an annual salary of $5.4 million (as of March 29, 2012). It is thought that basketball coaches' salaries are fairly varied with a standard deviation of 2 million dollars. The sample in the EXCEL file Basketball_Salaries.xls shows the head basketball salary for a random sample of 10 schools playing NCAA Division I basketball, the sample standard deviation is 1.002 million dollars. Salary data are in millions of dollars assume salaries are normally distributed. At the 1% significance level, is there sufficient evidence to suggest that the standard deviation of all NCAA basketball coaches' salaries is less than 2 million dollars?

Claim: The standard deviation of NCAA basketball coaches' salaries is less than 2 million dollars

a. What is the null hypothesis for this hypothesis test and what is the conclusion about the null (reject or fail to reject)? Use a complete sentence to answer.

b. What is the conclusion about the claim? Use a complete sentence to answer.

c. What does that suggest about NCAA basketball coach salaries?

Q2. Think about you have a question you would like to test.

a. Identify the population you would like to test.

b. Determine the data you will collect from the population and describe what you will measure.

b. Describe how you would collect a simple random sample of the population.

c. Determine the claim you will test about the population.

d. Will the hypothesis test be a left tail, right tail, or two tail test?

e. If the hypothesis test supports your claim, what conclusions can you reach about the population?

f. If he hypothesis test does not support your claim, what will that mean for your population?

g. What kinds of decisions can be made because of the information you gained from the hypothesis test?