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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 3.3 years and a standard deviation of 0.6 years. He then randomly selects records on 14 laptops sold in the past. Round the answers of following questions to 4 decimal places. a. What is the distribution of X? X - N( b. What is the distribution of ? N c. What is the probability that one randomly selected laptop is replaced less than 3.1 years? d. For 14 laptops, find the probability that the average replacement time is less than 3.1 year. e. For part d), is the assumption of normal necessary? O Yes No

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 3.3 years and a standard deviation of 0.6 years. He then randomly selects records on 14 laptops sold in the past. Round the answers of following questions to 4 decimal places. a. What is the distribution of X? X - N( b. What is the distribution of ? N c. What is the probability that one randomly selected laptop is replaced less than 3.1 years? d. For 14 laptops, find the probability that the average replacement time is less than 3.1 year. e. For part d), is the assumption of normal necessary? O Yes No

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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 3.3 years and a standard deviation of 0.6 years. He then randomly selects records on 14 laptops sold in the past. Round the answers of following questions to 4 decimal places. a. What is the distribution of X? X - N( b. What is the distribution of ? ~ N( c. What is the probability that one randomly selected laptop is replaced less than 3.1 years? d. For 14 laptops, find the probability that the average replacement time is less than 3.1 year. e. For part d), is the assumption of normal necessary? Yes No
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 3.3 years and a standard deviation of 0.6 years. He then randomly selects records on 14 laptops sold in the past. Round the answers of following questions to 4 decimal places. a. What is the distribution of X? X - N( b. What is the distribution of ? ~ N( c. What is the probability that one randomly selected laptop is replaced less than 3.1 years? d. For 14 laptops, find the probability that the average replacement time is less than 3.1 year. e. For part d), is the assumption of normal necessary? Yes No
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