1. A recent article in Vitality magazine reported that the mean amount of leisure time per week for American men is 40.0 hours. You believe this figure is too large and decide to conduct your own test. In a random sample of 60 men, you find that the mean is 37.8 hours of leisure per week and that the standard deviation of the sample is 12.2 hours. Can you conclude that the information in the article is untrue? Use the .05 significance level. Determine the p-value and explain its meaning.
2. The postanesthesia care area (recovery room) at St. Luke's Hospital in Maumee, Ohio, was recently enlarged. The hope was that with the enlargement the mean number of patients per day would be more than 25. A random sample of 15 days revealed the following numbers of patients.
|
25
|
27
|
25
|
26
|
25
|
28
|
28
|
27
|
24
|
26
|
25
|
29
|
25
|
27
|
24
|
At the .01 significance level, can we concidde the mean, number of returns is less than 6.5?
3. Refer to the Baseball 2010 data, which report information on the 30 Major League Base¬ball teams for the 2010 season.
a. Conduct a test of hypothesis to determine whether the mean payroll of the teams was different from $80.0 million. Use the .05 significance level.
b. Conduct a test of hypothesis to determine whether the mean attendance was more than 2,000,000 per team.
Discussion Questions
Question 1
What is a type I and type II errors in hypothesis testing? What would be examples of each? Explain
Question 2
What is the difference between statistical significance and practical significance? Why is statistical significance not necessarily of practical important difference to a business decision? Provide an example of this.
Attachment:- baseball_2010.xls