Say a study determines that the amount of time that college students on a given campus...
Say a study determines that the amount of time that college students on a given campus workout each week changes from school to school. You randomly interview 60 West State University students. You find that the average weekly gym time is 3 hours and that the standard deviation is 1 hour.
i. Is the sample mean normally distributed? Why or why not?
ii. Your friend believes that the average gym time at West State is 2.5 hours. Test your friend's hypothesis at a 5% significance level. Clearly state the null hypothesis, the rejection region, and your conclusion.
iii. Calculate the p-value. Give a range if you cannot obtain the exact value.
iv. Suppose that you know the population standard deviation is now 1. Find the 90% confidence interval for the population mean. State the general formula, fill in the appropriate values, and find the exact boundaries of the interval.
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Say a study determines that the amount of time that college
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