Most experts recommend college students get at least 8 hours of sleep per night. You collect a random sample of 112 students at your college and ask how many hours of sleep they got last night. The sample mean amount of sleep last night was 7.6 hours, with a sample standard deviation of 2.1 hours. The sample distribution of hours of sleep was slightly skewed right. Does this provide evidence that students at your college are getting less than the recommended amount of sleep per night?
-Is a theory-based approach reasonable for these data?
A) Yes, since the sample size is larger than 20 and the sample distribution is not strongly skewed.
B) Yes, since there were at least 10 students that slept more than 8 hours and at least 10 that slept less than 8 hours.
C) No, since the sample distribution was slightly skewed right.
D) Unable to determine.

Question

Quizplus · Accepted Answer

A theory-based approach is reasonable because the sample size is large (n=112), which allows the Central Limit Theorem to apply, making the sampling distribution of the sample mean approximately normal despite the slight skewness.

Most Experts Recommend College Students Get at Least 8 Hours