The manager of a computer retails 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 3.8 years and a standard deviation of 0.6 years. He then randomly selects records on 50 laptops sold in the past and finds that the mean replacement time is 3.5 years. a. Find the probability that 50 randomly selected laptops will have a mean replacement time of 3.5 years or less. Round your answer to four decimal places. P(M < 3.5 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

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Author:Amos Gilat
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The manager of a computer retail store is concerned that his suppliers have been giving him laptops with lower than average quality. His research shows that replacement times for the model laptop of concern are normally distributed with a mean of 3.8 years and a standard deviation of 0.6 years. He then randomly selects records on 50 laptops sold in the past and finds that the mean replacement time is 3.5 years.

a. Find the probability that 50 randomly selected laptops will have a mean replacement time of 3.5 years or less. Round your answer to four decimal places.

\[ P(M \leq 3.5 \text{ years}) = \]

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.

Submit Question
Transcribed Image Text:The manager of a computer retail store is concerned that his suppliers have been giving him laptops with lower than average quality. His research shows that replacement times for the model laptop of concern are normally distributed with a mean of 3.8 years and a standard deviation of 0.6 years. He then randomly selects records on 50 laptops sold in the past and finds that the mean replacement time is 3.5 years. a. Find the probability that 50 randomly selected laptops will have a mean replacement time of 3.5 years or less. Round your answer to four decimal places. \[ P(M \leq 3.5 \text{ years}) = \] 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. Submit Question
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