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Get Full Access to The Practice Of Statistics - 5 Edition - Chapter 7.3 - Problem 54
Get Full Access to The Practice Of Statistics - 5 Edition - Chapter 7.3 - Problem 54

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# Dead battery? A car company has found that the lifetime of its batteries varies from car

ISBN: 9781464108730 488

## Solution for problem 54 Chapter 7.3

The Practice of Statistics | 5th Edition

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Problem 54

Dead battery? A car company has found that the lifetime of its batteries varies from car to car according to a Normal distribution with mean m = 48 months and standard deviation s = 8.2 months. The company installs a new brand of battery on an SRS of 8 cars. (a) If the new brand has the same lifetime distribution as the previous type of battery, describe the sampling distribution of the mean lifetime x . (b) The average life of the batteries on these 8 cars turns out to be x = 42.2 months. Find the probability that the sample mean lifetime is 42.2 months or less if the lifetime distribution is unchanged. What conclusion would you draw?

Step-by-Step Solution:

Step 1 of 3

Consider that X be the lifetime of batteries following normal distribution with mean  and standard deviation

Step 2 of 3

Step 3 of 3

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