Answered: The manufacturer of a certain brand of…

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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6- The manufacturer of a certain brand of auto batteries claims that the mean life of these batteries is 50 months. A consumer protection agency wants to check if the mean life of these batteries is less than 50 months. They took a random sample of 25 such batteries and found that the mean life for this sample is 46.05 months. The lives of all such batteries have a normal distribution with the population standard deviation of 5.1 months. Using a 2.5% significance level, can you conclude that the mean life of all these batteries is less than 50 months?

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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