Suppose that the mean value of interpupillary 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. (Round your answers to four decimal places.)(a) If the distribution of interpupillary distance is normal and a random sample of n = 25 adult males is to be selected, what is the probability that the sample mean distance x for these 25 will be between 63 and 66 mm?What is the probability that the sample mean distance x for these 25 will be at least 67 mm?(b) Suppose that a sample of 100 adult males is to be obtained. Without assuming that interpupillary distance is normally distributed, what is the approximate probability that the sample mean distance will be between 63 and 66 mm?Without assuming that interpupillary distance is normally distributed, what is the approximate probability that the sample mean distance will be at least 67 mm?

Given n=25 Mean=65 Population standard deviation=5

Answered: e probability that the sample mean…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Suppose that the mean value of the interpupillary distance for all adult males is 65 mm, and the population standard deviation is 5 mm. If the distribution of interpupillary distance is normal and a sample of n=25 adult males is selected, what is the probability that the same average distance, x-bar, for these 25 scores will be between 64 and 67 mm? Same set-up as part a. More than 68 mm? Suppose that a sample of 100 adult males is obtained. Without assuming that interpupillary distance is normally distributed, what is the approximate probability that the average distance, x-bar, is between 64 and 67 mm? Same set-up as part c. More than 68 mm?
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