Suppose the heights of 18-year-old men are approximately , with mean  inches and standard deviation  inches.

normally distributed692

If a random sample of nineteen 18-year-old men is selected, what is the probability that the mean height x is between 68 and 70 inches? (Round your answer to four decimal places.)=

(c) Compare your answers to parts (a) and (b). Is the probability in part (b) much higher? Why would you expect this?

a:The probability in part (b) is much higher because the standard deviation is smaller for the x distribution.

b:The probability in part (b) is much lower because the standard deviation is smaller for the x distribution.

c:The probability in part (b) is much higher because the mean is larger for the x distribution.

d:The probability in part (b) is much higher because the standard deviation is larger for the x distribution.

e:The probability in part (b) is much higher because the mean is smaller for the x distribution.