16. The distribution of height for a certain population of women is approximately normal with mean
65 inches and standard deviation 3.5 inches. Consider two different random samples taken from the
population, one of size 5 and one of size 85. Which of the following is true about the sampling
distributions of the sample mean for the two sample sizes?
a. Both distributions are approximately normal with mean 65 and standard deviation 3.5.
b. Both distributions are approximately normal. The mean and standard deviation for size 5 are
both less than the mean and standard deviation for size 85.
C. Both distributions are approximately normal with the same mean. The standard deviation for
size 5 is greater than that for size 85.
d. Only the distribution for size 85 is approximately normal. Both distributions have mean 65 and
standard deviation 3.5.
e. Only the distribution for size 85 is approximately normal. The mean and standard deviation
for size 5 are both less than the mean and standard deviation for size 85.