The Sony Corporation produces an AM/FM Walkman that requires two AA batteries. The mean life of these batteries is 35.0 hours. The distribution of the battery lives closely follows the normal distribution with a standard deviation of 5.5 hours. As a part of their testing programme, Sony tests samples of 25 batteries. a)What fraction of the sample will have a mean useful life of greater than 34.5 hours? b)What fraction of the sample will have a mean useful life between 34.5 and 36.0 hours?

The Sony Corporation produces an AM/FM Walkman that requires two AA batteries. The mean life of these batteries is 35.0 hours. The distribution of the battery lives closely follows the normal distribution with a standard deviation of 5.5 hours. As a part of their testing programme, Sony tests samples of 25 batteries. a)What fraction of the sample will have a mean useful life of greater than 34.5 hours? b)What fraction of the sample will have a mean useful life between 34.5 and 36.0 hours?

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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Question

a)What fraction of the sample will have a mean useful life of greater than 34.5 hours?

b)What fraction of the sample will have a mean useful life between 34.5 and 36.0 hours?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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