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.

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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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.
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