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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

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

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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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? 0.8186 What 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 normally distributed, what is the approximate probability that the sample mean distance will be between 63 and 66 mm? 0.9772 Without assuming that interpupillary distance is normally distributed, what is the approximate probability that the sample mean distance will be at least 67 mm? 0
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? 0.8186 What 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 normally distributed, what is the approximate probability that the sample mean distance will be between 63 and 66 mm? 0.9772 Without assuming that interpupillary distance is normally distributed, what is the approximate probability that the sample mean distance will be at least 67 mm? 0
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