e probability that the sample mean distance x for these 25 will be at least 67 mm? 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 sa ssuming that interpupillary distance is normally distributed, what is the approximate probability that the sample mean distance will be at least 67 mm?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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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?
Transcribed Image Text: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?
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