A manufacturer of automobile batteries claims that the distribution of the lengths of life of itsbest battery has a mean of 54 months and a standard deviation of 6 months. The shape of thepopulation distribution is unknown.A consumer group decides to check the claim (u = 54 months) by purchasing a sample of 50 of%3Dthese batteries and subjecting them to tests that determine battery life.a)What is the shape of the sampling distribution of the mean? Explain.b)What is the mean of the sampling distribution (centre)?c)Calculate the standard error of the mean for the sampling distribution (spread).d)Assuming that the manufacturer's claim is true, what is the probability the consumergroup's sample has a mean life of 52 or fewer months?

a) Define a random variable X, that is the length of life of automobile battery.

Answered: A manufacturer of automobile batteries…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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