Question

(05.02 LC)

The Central Limit Theorem says that when sample size n is taken from any population with mean μ and standard deviation σ when n is large, which of the following statements are true? (4 points)

I. The distribution of the sample mean is exactly Normal.
II. The distribution of the sample mean is approximately Normal.
III. The standard deviation is equal to that of the population.
IV. The distribution of the population is exactly Normal.

a	I and II
b	I only
c	II and III
d	I, III, and IV
e	II only

(05.01 MC)

Suppose we select a simple random sample of size n = 125 from a large population with a proportion p of successes. Let p̂ be the proportion of successes in the sample. For which value of p is it appropriate to use the Normal approximation for the sampling distribution of p̂? (4 points)

a	0.03
b	0.02
c	0.97
d	0.94
e	0.25

Answer 1