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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 80 and that the standard deviation is 10, but the psychologist has good reason to believe 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 72. 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 Н 0 H₁ : O O □≠□ ⑤

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 80 and that the standard deviation is 10, but the psychologist has good reason to believe 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 72. 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 Н 0 H₁ : O O □≠□ 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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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 80 and that the standard deviation is 10, but the psychologist has good reason to believe 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 72. 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 Н 0 H₁ : O<O H₁ : (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 68. Fill in the blanks to describe a Type II error. A Type II error would be rejecting when, in fact, μ is equal to 80 the hypothesis that is less than or equal to ▼72 ロ=ロ O > O □≠□ ⑤
Transcribed Image Text: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 80 and that the standard deviation is 10, but the psychologist has good reason to believe 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 72. 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 Н 0 H₁ : O<O H₁ : (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 68. Fill in the blanks to describe a Type II error. A Type II error would be rejecting when, in fact, μ is equal to 80 the hypothesis that is less than or equal to ▼72 ロ=ロ O > O □≠□ ⑤
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