An automobile battery manufacturer claims that its mid grade battery has a mean life of 50 months with a standard deviation of 6 months Suppose the distribution of battery lives of this particular brand is approximately normal. Find the probability that the mean of a random sample of 36 such batteries will be less than 48 months. Is the assumption of the manufacturers' claims true? Why?

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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An automobile battery manufacturer claims that its mid grade battery has a mean life of 50 months with a standard deviation of 6 months
Suppose the distribution of battery lives of this particular brand is approximately normal. Find the probability that the mean of a random
sample of 36 such batteries will be less than 48 months. Is the assumption of the manufacturers' claims true? Why?
Transcribed Image Text:An automobile battery manufacturer claims that its mid grade battery has a mean life of 50 months with a standard deviation of 6 months Suppose the distribution of battery lives of this particular brand is approximately normal. Find the probability that the mean of a random sample of 36 such batteries will be less than 48 months. Is the assumption of the manufacturers' claims true? Why?
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