The following data represent the running times of films produced by two motion-picture companies. Test the hypothesis that the average running time of films produced by company 2 exceeds the average running time of films produced by company 1 by 8 minutes against the one-sided alternative that the difference is less than 8 minutes. Use a 0.10 level of significance and assume the distributions of times to be approximately normal with unequal variances. Company Time (minutes) 1 2 110 88 87 160 96 113 88 87 133 98 82 113 Let sample 1 be the company 1 films and let sample 2 be the company 2 films. State the null and alternative hypotheses. Ho: H1 H2 = H₁: H1-H2> -8 8 (Type integers or decimals. Do not round.) Find the test statistic. The test statistic is ☐ . (Round to two decimal places as needed.)

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
100%

I need help finding the test statistic, p-value, and whether or not to reject the null hypothesis. Please explain each step as well as you can. Thank you very much!

The following data represent the running times of films produced by two motion-picture companies. Test the hypothesis that the average running time of films produced by company 2 exceeds the
average running time of films produced by company 1 by 8 minutes against the one-sided alternative that the difference is less than 8 minutes. Use a 0.10 level of significance and assume the
distributions of times to be approximately normal with unequal variances.
Company
Time (minutes)
1
2
110 88
87 160
96 113 88
87 133
98 82 113
Let sample 1 be the company 1 films and let sample 2 be the company 2 films. State the null and alternative hypotheses.
Ho: H1 H2 =
H₁: H1-H2>
-8
8
(Type integers or decimals. Do not round.)
Find the test statistic.
The test statistic is ☐ . (Round to two decimal places as needed.)
Transcribed Image Text:The following data represent the running times of films produced by two motion-picture companies. Test the hypothesis that the average running time of films produced by company 2 exceeds the average running time of films produced by company 1 by 8 minutes against the one-sided alternative that the difference is less than 8 minutes. Use a 0.10 level of significance and assume the distributions of times to be approximately normal with unequal variances. Company Time (minutes) 1 2 110 88 87 160 96 113 88 87 133 98 82 113 Let sample 1 be the company 1 films and let sample 2 be the company 2 films. State the null and alternative hypotheses. Ho: H1 H2 = H₁: H1-H2> -8 8 (Type integers or decimals. Do not round.) Find the test statistic. The test statistic is ☐ . (Round to two decimal places as needed.)
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Similar 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