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 3.1 years and a standard deviation of 0.6 years. He then randomly selects records on 11 laptops sold in the past. Round the answers of following questions to 4 decimal places. For 11 laptops, find the probability that the average replacement time is more than 2.9 year. 2. The average number of miles (in thousands) that a car's tire will function before needing replacement is 70 and the standard deviation is 12. Suppose that 15 randomly selected tires are tested. Round all answers to 4 decimal places where possible and assume a normal distribution. 2.For the 15 tires tested, find the probability that the average miles (in thousands) before the need for replacement is between 68.6 and 71.5 3. Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the survey, assume the mean annual salary for graduates 10 years after graduation is $185,000. Assume the standard deviation is $30,000. Suppose you take a simple random sample of 11 graduates. Round all answers to four decimal places if necessary. 3. For a simple random sample of 11 graduates, find the probability that the average salary is between $179,232 and $188,855.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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1. 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 3.1 years and a standard deviation of 0.6 years. He then randomly selects records on 11 laptops sold in the past. Round the answers of following questions to 4 decimal places.

For 11 laptops, find the probability that the average replacement time is more than 2.9 year.

2. The average number of miles (in thousands) that a car's tire will function before needing replacement is 70 and the standard deviation is 12. Suppose that 15 randomly selected tires are tested. Round all answers to 4 decimal places where possible and assume a normal distribution.

2.For the 15 tires tested, find the probability that the average miles (in thousands) before the need for replacement is between 68.6 and 71.5

3. Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the survey, assume the mean annual salary for graduates 10 years after graduation is $185,000. Assume the standard deviation is $30,000. Suppose you take a simple random sample of 11 graduates. Round all answers to four decimal places if necessary.

3. For a simple random sample of 11 graduates, find the probability that the average salary is between $179,232 and $188,855.

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.

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