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

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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6. Help please
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 4.1 years and a
standard deviation of 0.5 years. He then randomly selects
records on 48 laptops sold in the past and finds that the
mean replacement time is 3.9 years.
Assuming that the laptop replacement times have a mean of
4.1 years and a standard deviation of 0.5 years, find the
probability that 48 randomly selected laptops will have a
mean replacement time of 3.9 years or less.
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 of obtaining this data is less
than 5%, so it is unlikely to have occurred by chance
alone.
No. The probability of obtaining this data is greater
than 5%, high enough to have been a chance
occurrence.
Transcribed Image Text: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 4.1 years and a standard deviation of 0.5 years. He then randomly selects records on 48 laptops sold in the past and finds that the mean replacement time is 3.9 years. Assuming that the laptop replacement times have a mean of 4.1 years and a standard deviation of 0.5 years, find the probability that 48 randomly selected laptops will have a mean replacement time of 3.9 years or less. 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 of obtaining this data is less than 5%, so it is unlikely to have occurred by chance alone. No. The probability of obtaining this data is greater than 5%, high enough to have been a chance occurrence.
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