Suppose you want to test H0: m £ 100 against H1: m > 100 using a significance level of 0.05. The population is normally distributed with a standard deviation of 75. A random sample size of n = 40 will be used. If m = 130, what is the probability of correctly rejecting a false null hypothesis? What is the probability that the test will incorrectly fail to reject a false null hypothesis? In a study of attitudes and job satisfaction, a sample of 50 men and 50 women were asked to rate their overall job satisfaction on a 1 to 10 scale. A high rating indicates higher degree of job satisfaction and the ratings are assumed to be normal with equal standard deviations. The sample of men recorded a mean rating of 7.2 with a standard deviation of 1.7, and the sample of women recorded a mean rating of 6.4 with a standard deviation of 1.4. Do men generally have better job satisfaction than women? Two machines are supposed to be producing steel bars of approximately the same length. A sample of 35 bars from one machine has an average length of 37.013 inches, with a standard deviation of 0.095 inches. For 38 bars produced by the other machine, the corresponding figures are 36.074 inches and 0.032 inches. Using a 0.05 level of significance and assuming equal population standard deviations, can we conclude that the machines are not different from each other? Construct and interpret the 95 percent confidence interval for the difference between the population means. Suspecting that television repair shops tend to charge women more than they do men, Emily disconnected the speaker wire on her portable television and took it to a sample of 12 shops. She was given repair estimates that averaged $95 with a standard deviation of $28. Her friend John was taking the same set to another sample of 9 shops, was provided with an average estimate of $65, with a standard deviation of $21. Using normal populations with equal standard deviations, use a 0.05 significance level in evaluating Emily’s suspicion. What is the approximate p-value of the test?

Suppose you want to test H0: m £ 100 against H1: m > 100 using a significance level of 0.05. The population is normally distributed with a standard deviation of 75. A random sample size of n = 40 will be used. If m = 130, what is the probability of correctly rejecting a false null hypothesis? What is the probability that the test will incorrectly fail to reject a false null hypothesis? In a study of attitudes and job satisfaction, a sample of 50 men and 50 women were asked to rate their overall job satisfaction on a 1 to 10 scale. A high rating indicates higher degree of job satisfaction and the ratings are assumed to be normal with equal standard deviations. The sample of men recorded a mean rating of 7.2 with a standard deviation of 1.7, and the sample of women recorded a mean rating of 6.4 with a standard deviation of 1.4. Do men generally have better job satisfaction than women? Two machines are supposed to be producing steel bars of approximately the same length. A sample of 35 bars from one machine has an average length of 37.013 inches, with a standard deviation of 0.095 inches. For 38 bars produced by the other machine, the corresponding figures are 36.074 inches and 0.032 inches. Using a 0.05 level of significance and assuming equal population standard deviations, can we conclude that the machines are not different from each other? Construct and interpret the 95 percent confidence interval for the difference between the population means. Suspecting that television repair shops tend to charge women more than they do men, Emily disconnected the speaker wire on her portable television and took it to a sample of 12 shops. She was given repair estimates that averaged $95 with a standard deviation of $28. Her friend John was taking the same set to another sample of 9 shops, was provided with an average estimate of $65, with a standard deviation of $21. Using normal populations with equal standard deviations, use a 0.05 significance level in evaluating Emily’s suspicion. What is the approximate p-value of the test?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Question

Suppose you want to test H₀: m £ 100 against H₁: m > 100 using a significance level of 0.05. The population is normally distributed with a standard deviation of 75. A random sample size of n = 40 will be used. If m = 130, what is the probability of correctly rejecting a false null hypothesis? What is the probability that the test will incorrectly fail to reject a false null hypothesis?
In a study of attitudes and job satisfaction, a sample of 50 men and 50 women were asked to rate their overall job satisfaction on a 1 to 10 scale. A high rating indicates higher degree of job satisfaction and the ratings are assumed to be normal with equal standard deviations. The sample of men recorded a mean rating of 7.2 with a standard deviation of 1.7, and the sample of women recorded a mean rating of 6.4 with a standard deviation of 1.4. Do men generally have better job satisfaction than women?
Two machines are supposed to be producing steel bars of approximately the same length. A sample of 35 bars from one machine has an average length of 37.013 inches, with a standard deviation of 0.095 inches. For 38 bars produced by the other machine, the corresponding figures are 36.074 inches and 0.032 inches. Using a 0.05 level of significance and assuming equal population standard deviations, can we conclude that the machines are not different from each other? Construct and interpret the 95 percent confidence interval for the difference between the population means.
Suspecting that television repair shops tend to charge women more than they do men, Emily disconnected the speaker wire on her portable television and took it to a sample of 12 shops. She was given repair estimates that averaged $95 with a standard deviation of $28. Her friend John was taking the same set to another sample of 9 shops, was provided with an average estimate of $65, with a standard deviation of $21. Using normal populations with equal standard deviations, use a 0.05 significance level in evaluating Emily’s suspicion. What is the approximate p-value of the test?

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 5 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Statistical Power and Errors$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.