Question

Samples of size n = 400 are taken from a telephone survey, and the range of television watching hours per week is found for each sample. What is the distribution of the sample ranges?

a. not enough information provided


b. normal (approximately)


c. skewed to the right


d. skewed to the left

Answer 1

A. Is the answer because it doesn't say how many people are being sampled at all.

Answer 2

b. normal (approximately)

Explanation:

If we use the central limit theorem, we can see that the sample size is quite large. And for sample size where n>30, we can say that the distribution is approximately normal.

According to the CLT, if the arithmetic mean of a large number of independent random variables possessing a well defined expected value and variance, then it will be approximately normally distributed.