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 4 years and a standard deviation of 0.5 years. He then randomly selects records on 42 laptops sold in the past and finds that the mean replacement time is 3.9 years. a. Find the probability that 42 randomly selected laptops will have a mean replacement time of 3.9 years or less. Round your answer to four decimal places. P(M3.9 years) b. Based on the result above, does it appear that the computer store has been given laptops of lower than average quality? O Yes. The probability from the sample shows that there's a possibility that the owner is given laptops lower than average quality. O No. The probability from the sample shows it is unlikely that the owner is given laptops lower than average quality. Submit Question

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 14PPS
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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 4 years and a standard deviation of 0.5 years. He
then randomly selects records on 42 laptops sold in the past and finds that the mean replacement time is
3.9 years.
a. Find the probability that 42 randomly selected laptops will have a mean replacement time of 3.9
years or less. Round your answer to four decimal places.
P(M3.9 years)
b. Based on the result above, does it appear that the computer store has been given laptops of lower
than average quality?
Yes. The probability from the sample shows that there's a possibility that the owner is given
laptops lower than average quality.
O No. The probability from the sample shows it is unlikely that the owner is given laptops lower
than average quality.
Submit Question
Transcribed Image Text: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 4 years and a standard deviation of 0.5 years. He then randomly selects records on 42 laptops sold in the past and finds that the mean replacement time is 3.9 years. a. Find the probability that 42 randomly selected laptops will have a mean replacement time of 3.9 years or less. Round your answer to four decimal places. P(M3.9 years) b. Based on the result above, does it appear that the computer store has been given laptops of lower than average quality? Yes. The probability from the sample shows that there's a possibility that the owner is given laptops lower than average quality. O No. The probability from the sample shows it is unlikely that the owner is given laptops lower than average quality. Submit Question
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