Statistics students believe that the mean score on the first statistics test is 75.5. A statistics instructor thinks the mean score is less than 75.5. He samples 15 statistics students and obtains the scores shown below. He performs a hypothesis test using a 0.05 level of significance. The data are assumed to be from a normal distribution. 71 74 73 78 75 79 70 66 76 77 72 65 67 68 69 Round answers to 4 decimals where possible. Step (1) Determine the null and alternative hypotheses. Ho : μ = Ha: 2 Step (2) Determine the test statistic and p-value. Test Statistic: ?v= p-value = Step (3) Find the critical value for the rejection region ?v

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

Don't know how to solve

Statistics students believe that the mean score on the first statistics test is 75.5. A statistics
instructor thinks the mean score is less than 75.5. He samples 15 statistics students and
obtains the scores shown below. He performs a hypothesis test using a 0.05 level of
significance. The data are assumed to be from a normal distribution.
71
74
70
66 76
72 65
68 69
73
78 75 79
Round answers to 4 decimals where possible.
Step (1) Determine the null and alternative hypotheses.
H₁ : μ =
Ηα: μην
Step (2) Determine the test statistic and p-value.
Test Statistic: ?v
p-value=
Step (3) Find the critical value for the rejection region
Transcribed Image Text:Statistics students believe that the mean score on the first statistics test is 75.5. A statistics instructor thinks the mean score is less than 75.5. He samples 15 statistics students and obtains the scores shown below. He performs a hypothesis test using a 0.05 level of significance. The data are assumed to be from a normal distribution. 71 74 70 66 76 72 65 68 69 73 78 75 79 Round answers to 4 decimals where possible. Step (1) Determine the null and alternative hypotheses. H₁ : μ = Ηα: μην Step (2) Determine the test statistic and p-value. Test Statistic: ?v p-value= Step (3) Find the critical value for the rejection region
Expert Solution
steps

Step by step

Solved in 3 steps with 4 images

Blurred answer
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