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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 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 72. Based on this information, answer the questions below. What are the null hypothesis (H) and the alternative hypothesis (H,) that should be used for the test? H: µ is ? H: p is ? In the context of this test, what is a Type II error? A Type II error is ? fact, p is ? v the hypothesis that u is ? when, in Suppose that the psychologist decides not to reject the null hypothesis. What sort of error might she be making? ?

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 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 72. Based on this information, answer the questions below. What are the null hypothesis (H) and the alternative hypothesis (H,) that should be used for the test? H: µ is ? H: p is ? In the context of this test, what is a Type II error? A Type II error is ? fact, p is ? v the hypothesis that u is ? when, in Suppose that the psychologist decides not to reject the null hypothesis. What sort of error might she be making? ?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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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An electronics manufacturing process has a scheduled mean completion time of 

70

 minutes. It is claimed that, under new management, the mean completion time, 

μ

, is less than 

70

 minutes. To test this claim, a random sample of 

20

 completion times under new management was taken.

The sample had a mean completion time of 

65

 minutes and a standard deviation of 

10

 minutes. Assume that the population of completion times under new management is normally distributed. At the 

0.05

 level of significance, can it be concluded that the mean completion time, 

μ

, under new management is less than the scheduled mean?

 

Perform a one-tailed test. Then fill in the table below.

Carry your intermediate computations to at least three decimal places and round your answers as specified in the table.

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 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 72. Based on this information, answer the questions below. What are the null hypothesis (H) and the alternative hypothesis (H,) that should be used for the test? H: µ is ? H: p is ? In the context of this test, what is a Type II error? A Type II error is ? fact, p is ? v the hypothesis that u is ? when, in Suppose that the psychologist decides not to reject the null hypothesis. What sort of error might she be making? ?
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 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 72. Based on this information, answer the questions below. What are the null hypothesis (H) and the alternative hypothesis (H,) that should be used for the test? H: µ is ? H: p is ? In the context of this test, what is a Type II error? A Type II error is ? fact, p is ? v the hypothesis that u is ? when, in Suppose that the psychologist decides not to reject the null hypothesis. What sort of error might she be making? ?
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