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 3.4 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 tim is 3.3 years. a. Find the probability that 45 randomly selected laptops will have a mean replacement time of 3.3 years or less. Round your answer to four decimal places. P(M≤ 3.3 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. No... The probability from the sample shows it is unlikely that the owner is given laptons lowe

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Author:Carter
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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
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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 3.4 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 3.3 years.
a. Find the probability that 45 randomly selected laptops will have a mean replacement time of 3.3
years or less. Round your answer to four decimal places.
P(M ≤ 3.3 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.
No. The probability from the sample shows it is unlikely that the owner is given laptops lower
than average quality.
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 3.4 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 3.3 years. a. Find the probability that 45 randomly selected laptops will have a mean replacement time of 3.3 years or less. Round your answer to four decimal places. P(M ≤ 3.3 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. No. The probability from the sample shows it is unlikely that the owner is given laptops lower than average quality.
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