Data sets A and B are dependent. Test the claim that μd > 0. Use α = 0.01. Assume that the paired data came from population that is normally distributed.
A | 36 40 36 42 30 |
B | 32 41 24 38 30 |
A) find the mean and standard deviation of the differenced data.
the mean is [ Select ] ["3.8", "4.05", "4.2", "4"] , and the standard deviation is [ Select ] ["5.12", "3.85", "4.58", "5.09"]
B) H0: μd = 0, H1: μd > 0
The test statics is [ Select ] ["2.62", "1.86", "1.66", "2.35"]
The critical value(s) is (are) [ Select ] ["- 3.747, 3.747", "- 2.821, 2.821", "2.821", "- 4.604, 4.604", "3.747", "4.604"]
We [ Select ] ["reject", "do not reject"] the null hypothesis since the [ Select ] ["critical value", "test statistic", "P-value"] [ Select ] ["is not", "is"] in the critical region.
So, the sample data [ Select ] ["do not", "do"] provide sufficient evidence at α = 0.01 to conclude that μd > 0.
A)
the mean is 3.8 and the standard deviation is 5.12
B)
The test statics is 1.66
The critical value(s) is 3.747
We do not reject the null hypothesis since the test statistic "is not in the critical region.
So, the sample data do not provide sufficient evidence at α = 0.01 to conclude that μd > 0.
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