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(a) What are the null hypothesis H, and the alternative hypothesis H, that the psychologist should use for the test? Ho: 0 H: 0 (b) What is the probability that the psychologist rejects the null hypothesis when, in fact, it is true? Round your response to two or more decimal places. D=0 OSO O

(a) What are the null hypothesis H, and the alternative hypothesis H, that the psychologist should use for the test? Ho: 0 H: 0 (b) What is the probability that the psychologist rejects the null hypothesis when, in fact, it is true? Round your response to two or more decimal places. D=0 OSO O

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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Question #10 please answer (c) and (d) :)
(a) What are the null hypothesis H, and the alternative hypothesis H, that the psychologist should use for the test? Ho: 0 H: 0 (b) What is the probability that the psychologist rejects the null hypothesis when, in fact, it is true? Round your response to two or more decimal places. D=0 OSO O<O (c) Assuming that the actual value of u is 80, what is the probability that the psychologist commits a Type II error? Round your response to two or more decimal places. (d) Suppose that the psychologist decides to perform another statistical test using the same population, the same null and alternative hypotheses, and the same level of significance, but for this second test the psychologist chooses a random sample of size 125 instead of a random sample of size 75. Assuming that the actual value of u is 80, how does the power of this second test compare to the power of the original test? OThe power of the second test is greater than the power of the original test OThe power of the second test is less than the power of the original test The powers of the two tests are equal
Transcribed Image Text:(a) What are the null hypothesis H, and the alternative hypothesis H, that the psychologist should use for the test? Ho: 0 H: 0 (b) What is the probability that the psychologist rejects the null hypothesis when, in fact, it is true? Round your response to two or more decimal places. D=0 OSO O<O (c) Assuming that the actual value of u is 80, what is the probability that the psychologist commits a Type II error? Round your response to two or more decimal places. (d) Suppose that the psychologist decides to perform another statistical test using the same population, the same null and alternative hypotheses, and the same level of significance, but for this second test the psychologist chooses a random sample of size 125 instead of a random sample of size 75. Assuming that the actual value of u is 80, how does the power of this second test compare to the power of the original test? OThe power of the second test is greater than the power of the original test OThe power of the second test is less than the power of the original test The powers of the two tests are equal
A psychologist is studying smokers' self-images, which she measures using the self-image (SI) score from a personality inventory. She would like to examine the mean SI score u for the population of all smokers. Previously published studies have indicated that the mean SI score for the population of all smokers is 85 and that the standard deviation is 15, but the psychologist has good reason to believe that the value for the mean has decreased. She decides to perform a statistical test and chooses a random sample of 75 smokers' SI scores. She'll use the value 15 for the population standard deviation, and she'll test at the 0.01 level of significance. Based on this information, answer the questions below. Carry your intermediate computations to four or more decimal places, and round your responses as indicated. (If necessary, consult a list of formulas.) (a) What are the null hypothesis H, and the alternative hypothesis H, that the psychologist should use for the test? Ho: 0 H: 0
Transcribed Image Text:A psychologist is studying smokers' self-images, which she measures using the self-image (SI) score from a personality inventory. She would like to examine the mean SI score u for the population of all smokers. Previously published studies have indicated that the mean SI score for the population of all smokers is 85 and that the standard deviation is 15, but the psychologist has good reason to believe that the value for the mean has decreased. She decides to perform a statistical test and chooses a random sample of 75 smokers' SI scores. She'll use the value 15 for the population standard deviation, and she'll test at the 0.01 level of significance. Based on this information, answer the questions below. Carry your intermediate computations to four or more decimal places, and round your responses as indicated. (If necessary, consult a list of formulas.) (a) What are the null hypothesis H, and the alternative hypothesis H, that the psychologist should use for the test? Ho: 0 H: 0
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