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A battery manufacturer claims that the lifetime of a

Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi ISBN: 9780073401331 38

Solution for problem 16E Chapter 4.11

Statistics for Engineers and Scientists | 4th Edition

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Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi

Statistics for Engineers and Scientists | 4th Edition

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Problem 16E

A battery manufacturer claims that the lifetime of a certain type of battery has a population mean of 40 hours and a standard deviation of 5 hours. Let  represent the mean lifetime of the batteries in a simple random sample of size 100 .a. If the claim is true, what is  ?b. Based on the answer to part (a), if the claim is true, is a sample mean lifetime of  hours unusually short?c. If the sample mean lifetime of the 100 batteries were  hours, would you find the manufacturer's claim to be plausible? Explain.d. If the claim is true, what is  ?e. Based on the answer to part , if the claim is true, is a sample mean lifetime of  hours unusually short?f. If the sample mean lifetime of the 100 batteries were  hours, would you find the manufacturer's claim to be plausible? Explain.

Step-by-Step Solution:

Solution

Step 1 of 7

Here given that the battery manufacturer claims that the lifetime of a certain type of a battery with population mean of 40 hrs and standard deviation of 5 hrs

So =40

      =5

Let represents the mean life of the sample

Here follows the normal distribution


Step 2 of 7

Chapter 4.11, Problem 16E is Solved
Step 3 of 7

Textbook: Statistics for Engineers and Scientists
Edition: 4
Author: William Navidi
ISBN: 9780073401331

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A battery manufacturer claims that the lifetime of a