Answered: The company that manufactures car…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section4.6: Regression And Median-fit Lines

Problem 4GP

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Question

The company that manufactures car engine spark plugs has stated in its test that the durability of the plugs follows the normal distribution N(45000 km, 1600 km).

After how many driving kilometers do the plugs have to be replaced if we want to be 99.9% sure that the plugs will not broken before replacement?

Show your calculations in Excel cells, and justify calculations.

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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