Perform a hypothesis test for the mean using the following sample. The significance level alpha is 5%. Sample: 7.9, 8.3, 8.4. 9.6. 7.7, 8.1, 6.8, 7.5, 8.6, 8, 7.8, 7.4, 8.4, 8.9, 8.5, 9.4, 6.9, 7.7. Sample standard deviation =0.753. Test if mean< 8.4. Assume normality of the data. 1 Formulate the hypothesis by entering the corresponding signs: "<", ">", "=" or "" and numbers. Hint: in your answers use "<>" instead of "". HO: mean H1:mean 2 Test statistics value (rounded to one decimal place): 3 Conclusions, based on the results, which of the following options is correct: (type the corresponding capital letter, do not type the "dot" at the end) A. Reject HO and accept H1 at 5% significance level. B. Accept HO with 95% confidence. C. Do not reject HO at 5% significance level and reserve judgement. We may retain HO but with some unknown probability. D. Reject both, HO and H1, the test has failed. E. Accept both, HO and H1, the test has failed.

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
Perform a hypothesis test for the mean using the following sample. The significance level alpha is 5%.
Sample: 7.9, 8.3, 8.4, 9.6, 7.7, 8.1, 6.8, 7.5, 8.6, 8, 7.8, 7.4, 8.4, 8.9, 8.5, 9.4, 6.9, 7.7.
Sample standard deviation =0.753. Test if mean< 8.4.
Assume normality of the data.
1 Formulate the hypothesis by entering the corresponding signs: "<", ">", "=" or "" and numbers. Hint: in your answers use "<>" instead of "".
HO: mean
H1:mean
2 Test statistics value (rounded to one decimal place):
3 Conclusions, based on the results, which of the following options is correct:
(type the corresponding capital letter, do not type the "dot" at the
end)
A. Reject HO and accept H1 at 5% significance level.
B. Accept HO with 95% confidence.
C. Do not reject HO at 5% significance level and reserve judgement. We may retain HO but with some unknown probability.
D. Reject both, HO and H1, the test has failed.
E. Accept both, HO and H1, the test has failed.
Transcribed Image Text:Perform a hypothesis test for the mean using the following sample. The significance level alpha is 5%. Sample: 7.9, 8.3, 8.4, 9.6, 7.7, 8.1, 6.8, 7.5, 8.6, 8, 7.8, 7.4, 8.4, 8.9, 8.5, 9.4, 6.9, 7.7. Sample standard deviation =0.753. Test if mean< 8.4. Assume normality of the data. 1 Formulate the hypothesis by entering the corresponding signs: "<", ">", "=" or "" and numbers. Hint: in your answers use "<>" instead of "". HO: mean H1:mean 2 Test statistics value (rounded to one decimal place): 3 Conclusions, based on the results, which of the following options is correct: (type the corresponding capital letter, do not type the "dot" at the end) A. Reject HO and accept H1 at 5% significance level. B. Accept HO with 95% confidence. C. Do not reject HO at 5% significance level and reserve judgement. We may retain HO but with some unknown probability. D. Reject both, HO and H1, the test has failed. E. Accept both, HO and H1, the test has failed.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

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