Suppose that the mean value of interpupillary distance (the distance between the pupils of the left and right eyes) for adultmales 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?0.8186What is the probability that the sample mean distance x for these 25 will be at least 67 mm?1(b) Suppose that a sample of 100 adult males is to be obtained. Without assuming that interpupillary distance is normallydistributed, what is the approximate probability that the sample mean distance will be between 63 and 66 mm?0.9772Without assuming that interpupillary distance is normally distributed, what is the approximate probability that thesample mean distance will be at least 67 mm?0

The mean is 65 and standard deviation is 5.

Answered: What is the probability that the sample…

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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What is the probability that the sample mean distance x for these 25 will be at least 67 mm? 1 X