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A personality test available on the Internet has a subsection designed to assess the "honesty" of the examinee. You are interested in knowing the average score, μ, which the general population obtains in this subsection. The website indicates thatuis145but have good reason to believe that is less than 145. To perform a statistical test, choose a random sample of 100people and asks them to take the personality test. Suppose the population of scores on the personality test subsection has a standard deviation of22and who performs his hypothesis test using the significance level of0.10. Based on this information, answer the following questions. Take your intermediate calculations to at least four decimal places and round answers as indicated. (If necessary, see a list of formulas.) (to) What are the null hypothesesh and alternativeh, What should be used to perform the test? ho: 0 h₁:0 (b) Assuming that the real value ofuis 142, what is the power of the test? Round your answer to two or more decimal places. (c) What is the probability that you will make a Type I error? Round your answer to two or more decimal places. μ X 0#0 O X S 0=0 OSO 020 O0

A personality test available on the Internet has a subsection designed to assess the "honesty" of the examinee. You are interested in knowing the average score, μ, which the general population obtains in this subsection. The website indicates thatuis145but have good reason to believe that is less than 145. To perform a statistical test, choose a random sample of 100people and asks them to take the personality test. Suppose the population of scores on the personality test subsection has a standard deviation of22and who performs his hypothesis test using the significance level of0.10. Based on this information, answer the following questions. Take your intermediate calculations to at least four decimal places and round answers as indicated. (If necessary, see a list of formulas.) (to) What are the null hypothesesh and alternativeh, What should be used to perform the test? ho: 0 h₁:0 (b) Assuming that the real value ofuis 142, what is the power of the test? Round your answer to two or more decimal places. (c) What is the probability that you will make a Type I error? Round your answer to two or more decimal places. μ X 0#0 O X S 0=0 OSO 020 O0

MATLAB: An Introduction with Applications
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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A personality test available on the Internet has a subsection designed to assess the "honesty" of the examinee. You are interested in knowing the average score, μ, which the general population obtains in this subsection. The website indicates thatuis145but have good reason to believe that is less than 145. To perform a statistical test, choose a random sample of 100people and asks them to take the personality test. Suppose the population of scores on the personality test subsection has a standard deviation of22and who performs his hypothesis test using the significance level of0.10. Based on this information, answer the following questions. Take your intermediate calculations to at least four decimal places and round answers as indicated. (If necessary, see a list of formulas.) (to) What are the null hypothesesh and alternativeh What should be used to perform 1 the test? 0 ho: h 1 1· (b) Assuming that the real value ofµis142,what is the power of the test? Round your answer to two or more decimal places. 0 (c) What is the probability that you will make a Type I error? Round your answer to two or more decimal places. μ XI 0=0 ☐#0 X O S OSO р 3 Â O<O ☐>0
Transcribed Image Text:A personality test available on the Internet has a subsection designed to assess the "honesty" of the examinee. You are interested in knowing the average score, μ, which the general population obtains in this subsection. The website indicates thatuis145but have good reason to believe that is less than 145. To perform a statistical test, choose a random sample of 100people and asks them to take the personality test. Suppose the population of scores on the personality test subsection has a standard deviation of22and who performs his hypothesis test using the significance level of0.10. Based on this information, answer the following questions. Take your intermediate calculations to at least four decimal places and round answers as indicated. (If necessary, see a list of formulas.) (to) What are the null hypothesesh and alternativeh What should be used to perform 1 the test? 0 ho: h 1 1· (b) Assuming that the real value ofµis142,what is the power of the test? Round your answer to two or more decimal places. 0 (c) What is the probability that you will make a Type I error? Round your answer to two or more decimal places. μ XI 0=0 ☐#0 X O S OSO р 3 Â O<O ☐>0
(c) What is the probability that you will make a Type I error? Round your answer to two or more decimal places. (d) Suppose you decide to perform another statistical test with the same population, the same null hypothesis, the same alternative hypothesis, and the same sample size, but in this second test you use a random sample of size 150instead of a random sample of size 100.Assuming that the real value ofµis142, How does the probability that you will make a Type II error on this second test compare with the probability that you will make a Type II error on the original test? The probability of making a Type Il error on the second test is higher O The probability of making a Type II error on the second test is lower O The probabilities of making a Type II error are equal 0#0 X 0<0 □<口 Ś
Transcribed Image Text:(c) What is the probability that you will make a Type I error? Round your answer to two or more decimal places. (d) Suppose you decide to perform another statistical test with the same population, the same null hypothesis, the same alternative hypothesis, and the same sample size, but in this second test you use a random sample of size 150instead of a random sample of size 100.Assuming that the real value ofµis142, How does the probability that you will make a Type II error on this second test compare with the probability that you will make a Type II error on the original test? The probability of making a Type Il error on the second test is higher O The probability of making a Type II error on the second test is lower O The probabilities of making a Type II error are equal 0#0 X 0<0 □<口 Ś
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