Answered: Assuming that the laptop replacment…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

The manager of a computer retail store is concerned that his suppliers have been giving him laptop computers with lower than average quality. His research shows that replacement times for the model laptop of concern are normally distributed with a mean of 3.9 years and a standard deviation of 0.5 years. He then randomly selects records on 45 laptops sold in the past and finds that the mean replacement time is 3.8 years.

Assuming that the laptop replacment times have a mean of 3.9 years and a standard deviation of 0.5 years, find the probability that 45 randomly selected laptops will have a mean replacment time of 3.8 years or less.
P( ¯xx¯ < 3.8 years) =
Enter your answer as a number accurate to 4 decimal places. NOTE: Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.

Based on the result above, does it appear that the computer store has been given laptops of lower than average quality?

No. The probability of obtaining this data is high enough to have been a chance occurrence.
Yes. The probability of this data is unlikely to have occurred by chance alone.

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