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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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 11PPS
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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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