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 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 74 . 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 thanless than or equal togreater thangreater than or equal tonot equal toequal to ?748012 H1 : μ is ?less thanless than or equal togreater thangreater than or equal tonot equal toequal to ?748012 In the context of this test, what is a Type I error? A Type I error is ?rejectingfailing to reject the hypothesis that μ is ?less thanless than or equal togreater thangreater than or equal tonot equal toequal to ?748012 when, in fact, μ is ?less thanless than or equal togreater thangreater than or equal tonot equal toequal to ?748012. Suppose that the psychologist decides not to reject the null hypothesis. What sort of error might she be making? ?Type IType II
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 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 74 . 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 thanless than or equal togreater thangreater than or equal tonot equal toequal to ?748012 H1 : μ is ?less thanless than or equal togreater thangreater than or equal tonot equal toequal to ?748012 In the context of this test, what is a Type I error? A Type I error is ?rejectingfailing to reject the hypothesis that μ is ?less thanless than or equal togreater thangreater than or equal tonot equal toequal to ?748012 when, in fact, μ is ?less thanless than or equal togreater thangreater than or equal tonot equal toequal to ?748012. Suppose that the psychologist decides not to reject the null hypothesis. What sort of error might she be making? ?Type IType II
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Question
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,
, for the population of all smokers. Previously published studies have indicated that the mean SI score for the population of all smokers is
and that the standard deviation is
, 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
.
μ
80
12
74
Based on this information, answer the questions below.
| What are the null hypothesis (
H0
H1
H0
μ
H1
μ
In the context of this test, what is a Type I error? A Type I error is ?rejectingfailing to reject the hypothesis that μ
μ
Suppose that the psychologist decides not to reject the null hypothesis. What sort of error might she be making? ?Type IType II |
|
|
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