A random sample of 100 college students is taken from the student body of a larg

Question

A random sample of 100 college students is taken from the student body of a large university. Each student estimates the number of hours spent studying each week. Assume that a mean of 20 hours describes the weekly study estimates for the entire student body (m). At this point you can describe the sampling distribution of the mean as having a mean (expected value) that:

a) approximates 20 hours

b) equals 20 hours

c) lies within a couple of hours of 20

d) equals the observed sample mean

YOU MUST EXPLAIN YOUR ANSWER TO THIS QUESTION. {This means you must write a sentence or two of explanation)

Explanation / Answer

b) equals 20 hours

because by central limit theorem mean or expected value of sampling distribution of sample mean will be same as population mean

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