In Exercises 53 and 54, use the Central Limit Theorem to find the mean and standard deviation of the indicated sampling distribution of sample means. Then
sketch a graph of the sampling distribution.
53. The annual per capita consumption of citrus fruits by people in the
United States is normally distributed, with a mean of 85.6 pounds and a
standard deviation of 20.5 pounds. Random samples of size 35 are drawn
from this population, and the mean of each sample is determined. (Adapted
from U. S. Department of Agriculture)

If your score on your next statistics test is converted to a z score, which of these z scores would you prefer: minus2.00, minus1.00, 0, 1.00, 2.00? why? a. the z score of 2.00 is most preferable because it is 2.00 standard deviations above the mean and would correspond to the highest of the five different possible test scores. b. the z score of 0 is most preferable because it corresponds to a test score equal to the mean. c. the z score of minus2.00 is most preferable because it is 2.00 standard deviations below the mean and would correspond to the highest of the five different possible test scores. d. the z score of minus1.00 is most preferable because it is 1.00 standard deviation below the mean and would correspond to an above average