Answered: 4. A company produces an electric…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 13PPS

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4. A company produces an electric toothbrush with a life (that time period for which it does not need a major repair) that is normally distributed with a mean of 48 months with a standard deviation of 7 months. The company wants to determine the warranty period for the toothbrush. Any toothbrush that fails within the warranty period will be replaced by the company. What should the warranty period be if the company does not want to replace more than 2% of the toothbrushes under warranty?

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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