A psychologist is studying the self image of smokers, as measured by the self-image (SI) score from a personality inventory. She would like to examine themean SI score, μ, for the population of all smokers. Previously published studies have indicated that the mean SI score for the population of all smokers is 85and that the standard deviation is 20, but the psychologist has good reason to believe that the value for the mean has decreased. She plans to perform astatistical test. She takes a random sample of SI scores for smokers and computes the sample mean to be 75.Based on this information, complete the parts below.(a) What are the null hypothesis H and the alternative hypothesis H₁ that should be used for the test?H₂O0H₁ : 0(b) Suppose that the psychologist decides not to reject the null hypothesis. What sort of error might she be making?(Choose one)(c) Suppose the true mean SI score for all smokers is 71. Fill in the blanks to describe a Type II error.A Type II error would be (Choose one) ▼the hypothesis that u is (Choose one)(Choose one) ▼ when, in fact, μ is (Choose one)μOOロ≠ロ

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Answered: A psychologist is studying the self…

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 psychologist is studying the self image of smokers, as measured by the self-image (SI) score from a personality inventory. She would like to examine the mean SI score, μ, 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 changed. She plans to perform a statistical test. She takes a random sample of SI scores for smokers and computes the sample mean to be 75. Based on this information, complete the parts below. (a) What are the null hypothesis Ho and the alternative hypothesis H₁ that should be used for the test? μ x H₁ : ☐ H₁:0 □<ロ □ㄨˇ O
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A psychologist is studying the self image of smokers, as measured by the self-image (SI) score from a personality inventory. She would like to examine the mean SI score, μ, for the population of all smokers. Previously published studies have indicated that the mean SI score for the population of all smokers is 82and that the standard deviation is 12, but the psychologist believes that the value for the mean has decreased. She plans to perform a statistical test. She takes a random sample of SI scores for smokers and computes the sample mean to be 7.Based on this information, answer the questions below. What are the null hypothesis (H0) and the alternative hypothesis (H1) that should be used for the test?H0: μ is ?less than less than or equal togreater thangreater than or equal to not equal toequal to ? 82 74 12 H1: μ is ?less thanless than or equal togreater thangreater than or equal tonot equal toequal to ? 82 74 12 In the context of this test, what is a Type II error?A Type…
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