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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 3.7 years and a standard deviation of 0.4 years. He then randomly selects records on 42 laptops sold in the past and finds that the mean replacement time is 3.6 years. Assuming that the laptop replacement times have a mean of 3.7 years and a standard deviation of 0.4 years, find the prohahility that 13 rando

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 3.7 years and a standard deviation of 0.4 years. He then randomly selects records on 42 laptops sold in the past and finds that the mean replacement time is 3.6 years. Assuming that the laptop replacement times have a mean of 3.7 years and a standard deviation of 0.4 years, find the prohahility that 13 rando

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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 3.7 years and a standard deviation of 0.4 years. He then randomly selects records on 42 laptops sold in the past and finds that the mean replacement time is 3.6 years. Assuming that the laptop replacement times have a mean of 3.7 years and a standard deviation of 0.4 years, find the probability that 42 randomly selected laptops will have a mean replacement time of 3.6 years or less. P(M < 3.6 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? O No. The probability of obtaining this data is high enough to have been a chance occurrence. O Yes. The probability of this data is unlikely to have occurred by chance alone.
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 3.7 years and a standard deviation of 0.4 years. He then randomly selects records on 42 laptops sold in the past and finds that the mean replacement time is 3.6 years. Assuming that the laptop replacement times have a mean of 3.7 years and a standard deviation of 0.4 years, find the probability that 42 randomly selected laptops will have a mean replacement time of 3.6 years or less. P(M < 3.6 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? O No. The probability of obtaining this data is high enough to have been a chance occurrence. O Yes. The probability of this data is unlikely to have occurred by chance alone.
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