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f0.01. ation, answer the following questions. Take your intermediate calculations to at least four decimal places and st of formulas.) ne null hypothesesh and alternativeh, What should be used to perform probability that the consultant will reject the null hypothesis when, in ue? Round your answer to two or more decimal places. hat the real value ofuis40minutes, What is the probability that the accepts the null hypothesis? Round your answer to two or more decimal H XI O ロ=ロ OSO X Р 0 5

f0.01. ation, answer the following questions. Take your intermediate calculations to at least four decimal places and st of formulas.) ne null hypothesesh and alternativeh, What should be used to perform probability that the consultant will reject the null hypothesis when, in ue? Round your answer to two or more decimal places. hat the real value ofuis40minutes, What is the probability that the accepts the null hypothesis? Round your answer to two or more decimal H XI O ロ=ロ OSO X Р 0 5

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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The executives of a supermarket chain are interested in knowing the amount of time customers spend shopping at their stores. It was indicated that the average purchase time,μ, of customers in supermarkets, it is38minutes but executives have good reason to believe thatuis greater than38minutes. The executives hire a statistical consultant and ask her to perform a statistical test. She collects a random sample of 150 shopping times in supermarkets. Suppose that the population of supermarket shopping times has a standard deviation of 10minutes and that the consultant performs its hypothesis test using the level of significance of0.01. 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) What is the probability that the consultant will reject the null hypothesis when, in fact, it is true? Round your answer to two or more decimal places. (c) Assuming that the real value ofμis40minutes, What is the probability that the consultant accepts the null hypothesis? Round your answer to two or more decimal μ XI 0=0 ☐#0 a S OO Р <o S 00 ロミロ 0<0 ☐☐
Transcribed Image Text:The executives of a supermarket chain are interested in knowing the amount of time customers spend shopping at their stores. It was indicated that the average purchase time,μ, of customers in supermarkets, it is38minutes but executives have good reason to believe thatuis greater than38minutes. The executives hire a statistical consultant and ask her to perform a statistical test. She collects a random sample of 150 shopping times in supermarkets. Suppose that the population of supermarket shopping times has a standard deviation of 10minutes and that the consultant performs its hypothesis test using the level of significance of0.01. 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) What is the probability that the consultant will reject the null hypothesis when, in fact, it is true? Round your answer to two or more decimal places. (c) Assuming that the real value ofμis40minutes, What is the probability that the consultant accepts the null hypothesis? Round your answer to two or more decimal μ XI 0=0 ☐#0 a S OO Р <o S 00 ロミロ 0<0 ☐☐
(b) What is the probability that the consultant will reject the null hypothesis when, in fact, it is true? Round your answer to two or more decimal places. 0 (c) Assuming that the real value ofμis40minutes, What is the probability that the consultant accepts the null hypothesis? Round your answer to two or more decimal places. 0 (d) Suppose that the consultant decides to carry out 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 the consultant uses a significance level of 0.05 instead of a significance level of0.01.Assuming that the real value ofμis 40minutes, How does the power of this second test compare to the power of the original test? O The power of the second trial is greater than the power of the original trial O The power of the second trial is less than the power of the original trial O The powers of the two tests are equal. 0=0 0#0 OSO 020 0<0 ☐>0 S
Transcribed Image Text:(b) What is the probability that the consultant will reject the null hypothesis when, in fact, it is true? Round your answer to two or more decimal places. 0 (c) Assuming that the real value ofμis40minutes, What is the probability that the consultant accepts the null hypothesis? Round your answer to two or more decimal places. 0 (d) Suppose that the consultant decides to carry out 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 the consultant uses a significance level of 0.05 instead of a significance level of0.01.Assuming that the real value ofμis 40minutes, How does the power of this second test compare to the power of the original test? O The power of the second trial is greater than the power of the original trial O The power of the second trial is less than the power of the original trial O The powers of the two tests are equal. 0=0 0#0 OSO 020 0<0 ☐>0 S
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