18.07.2022 - 07:23

# Suppose that the mean value of inter-pupillary distance (the distance between the pupils of the left and right eyes) for adult males is 65 mm and that the population standard deviation is 5 mm. (a) I

Question:

Suppose that the mean value of inter-pupillary distance (the distance between the pupils of the left and right eyes) for adult males is 65 mm and that the population standard deviation is 5 mm.

(a) If the distribution of inter-pupillary distance is normal and a sample of n =25 adult males is to be selected, what is the probability that the sample average distance for these 25 will be between 64 and 66 mm? (Round all your intermediate calculations to four decimal places. Round the answers to four decimal places.)

(b) Suppose that a sample of 100 adult males is to be obtained. Without assuming that inter-pupillary distance is normally distributed, what is the \approx imate probability that the sample average distance will be between 64 and 66 mm? (Round all your intermediate calculations to four decimal places. Round the answers to four decimal places.) ?