Question: On the first night of class I asked you how much sleep (in hours) you got the night before. Here are the results:

Fall, 2008

Many health experts recommend that people get 8 hours of sleep. Use a t-test to determine if students get less than the recommended 8 hours of sleep? Use a 5% level of significance.

a. Construct an appropriate null and alternative hypothesis.

b. Calculate the mean, standard deviation and the appropriate test statistic and p-value for the test.

c. Make a statistical decision regarding the hypothesis and show the numbers you used to make the decision.

d. Make a concluding summary statement. Do students get the recommended 8 hours of sleep? Explain your reasoning?

e. What type of error is possible? If you did make this type of error what would it mean in this problem?