Female students in the spring 2013 class survey had heights that were approximately Normally distributed with a mean of 64.86 inches and a standard deviation of 3.25. Suppose we took a sample of 25 female students from the population of all the students who took the survey. What is the probability that the mean height of the 25 female students would be between 63.5 and 65.1 inches?
(A) .9675 (B) .9573 (C) .6260 (D) .1907 (E) .0427

Question

Female students in the spring 2013 class survey had heights that were approximately Normally distributed with a mean of 64.86 inches and a standard deviation of 3.25. Suppose we took a sample of 25 female students from the population of all the students who took the survey. What is the probability that the mean height of the 25 female students would be between 63.5 and 65.1 inches?
(A) .9675 (B) .9573 (C) .6260 (D) .1907 (E) .0427