Chapter 2, Problem 2.64SE

Sleep and the College Student How muchsleep do you get on a typical school night? A group of10 college students were asked to report the number ofhours that they slept on the previous night with the following results:

1. Find the mean and the standard deviation of thenumber of hours of sleep for these 10 students.
2. Calculate the z-score for the largest value $(x=\mathrm{8.5.})$ Is this an unusually sleepy college student?
3. What is the most frequently reported measurement?What is the name for this measure of center?
4. Construct a box plot for the data. Does the boxplot confirm your results in part b? [HINT: Since thez-score and the box plot are two unrelated methodsfor detecting outliers, and use different types ofstatistics, they do not necessarily have to (butusually do) produce the same results.]