Car battery durability. A manufacturer of car batteries asserts that the distribution of the durability (lifespan) of batteries from its premium brand has a mean μ=54 months and a standard deviation σ=6 months. In order to validate this assertion, a group of consumers decides to randomly select a sample of 50 batteries and measure their lifespans.a. Assuming the manufacturer's claim holds true, describe the sampling distribution of the sample mean for a sample size of n = 50 batteries.b. If the manufacturer's claim is accurate, what is the probability that the sample of 50 batteries has a lifespan of 52 months or less?

Answered: Car battery durability. A manufacturer…

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Car battery durability. A manufacturer of car batteries asserts that the distribution of the durability (lifespan) of batteries from its premium brand has a mean μ=54 months and a standard deviation σ=6 months. In order to validate this assertion, a group of consumers decides to randomly select a sample of 50 batteries and measure their lifespans.

a. Assuming the manufacturer's claim holds true, describe the sampling distribution of the sample mean for a sample size of n = 50 batteries.

b. If the manufacturer's claim is accurate, what is the probability that the sample of 50 batteries has a lifespan of 52 months or less?

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