For a package delivery business, historical data shows that delivery times follow a Normal distribution with mean 60 minutes and standard deviation 10 minutes. What sample size is needed so that the probability of the mean delivery time of a sample exceeding 65 minutes is at-most 1%? In other words, find the minimum value of n so that P(x > 60) < 0.01 n=20 On=23 On=22 On=21

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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For a package delivery business, historical data shows that delivery times follow a
Normal distribution with mean 60 minutes and standard deviation 10 minutes. What
sample size is needed so that the probability of the mean delivery time of a sample
exceeding 65 minutes is at-most 1%? In other words, find the minimum value of n so
that
P(x > 60) < 0.01
n=20
n=23
n=22
n=21
Transcribed Image Text:For a package delivery business, historical data shows that delivery times follow a Normal distribution with mean 60 minutes and standard deviation 10 minutes. What sample size is needed so that the probability of the mean delivery time of a sample exceeding 65 minutes is at-most 1%? In other words, find the minimum value of n so that P(x > 60) < 0.01 n=20 n=23 n=22 n=21
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