solution

Referring to Exercise 13, now change the sample size to 30.

(a) Does this histogram more closely resemble that of a normal distribution than that of Exercise 13? Why?

(b) Which resembles it more closely?

(c) Calculate the mean and the variance of the 20 sample means.

Exercise 13

Use MINITAB or some other statistical computer program to generate 20 samples of size 10 each from the uniform density function f(x) = 1, 0 ≤ x ≤ 1.

(a) Find the mean of each sample and construct a histogram of these sample means.

(b) Calculate the mean and the variance of the 20 sample means.

 
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