Construct a 95% confidence interval for variance  and decide if the manufacturer’s claim that variance=1 is valid. Assume the population of battery lives to be approximately normally distributed.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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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A manufacturer of car batteries claims that the batteries will last, on average, 3 years with a variance of 1 year. Six of these batteries have lifetimes, in years, as follows:

1.9, 2.4, 3.0, 3.5, 4.2, 5.1

Construct a 95% confidence interval for variance  and decide if the manufacturer’s claim that variance=1 is valid. Assume the population of battery lives to be approximately normally distributed.

Round of  to 2-5 decimal places.

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