Question
1. A recent article in Vitality magazine reported that the mean amount of leisure time per week for American men is 40.00 hours. You believe
1. A recent article in Vitality magazine reported that the mean amount of leisure time per week for American men is 40.00 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 post anesthesia care area (recover room) at St. Lukes 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 number of patients.
25, 27, 25, 26, 25, 28, 28, 27, 24, 26, 25, 29, 25, 27, 24
At the .01 significance level, can we conclude that the mean number of patients per day is more than 25? Estimate the p-value and interpret it.
3. Refer to the Baseball 2010 data, which report information on the 30 Major League Baseball 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.
Note: In question 3, the baseball data can be obtained from http://highered.mcgraw-hill.com/sites/0073521477/student_view0/index.html(Links to an external site.). Then go to Data sets. Download the Baseball file. Make sure you get the Excel file (.xls) or Minitab file (.MTW)
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