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 4.4 years and a standard deviation of 0.5 years. He then randomly selects records on 31 laptops sold in the past and finds that the mean replacement time is 4.2 years. Find the probability that 31 randomly selected laptops will have a mean replacement time of 4.2 years or less. Round your answer to four decimal places.�(�≤4.2years)= 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.

The objective of this question is to determine the probability that 31 randomly selected laptops…

Answered: The manager of a computer retail store…

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

See similar textbooks

Related questions

Question

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 4.4 years and a standard deviation of 0.5 years. He then randomly selects records on 31 laptops sold in the past and finds that the mean replacement time is 4.2 years.

Find the probability that 31 randomly selected laptops will have a mean replacement time of 4.2 years or less. Round your answer to four decimal places.
�(�≤4.2years)=
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.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

AI-Generated Solution

AI-generated content may present inaccurate or offensive content that does not represent bartleby’s views.