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
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
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, 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
AI-Generated Solution
AI-generated content may present inaccurate or offensive content that does not represent bartleby’s views.
steps

Unlock instant AI solutions

Tap the button
to generate a solution

Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman