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The null and alternate hypotheses are: H 0 : 1 = 2 H 1 : 1 2 A random sample of 11 observations from one
The null and alternate hypotheses are: |
H0: 1= 2 |
H1: 1 2 |
A random sample of 11 observations from one population revealed a sample mean of 24 and a sample standard deviation of 4.6. A random sample of 8 observations from another population revealed a sample mean of 29 and a sample standard deviation of 4.1. |
At the 0.05 significance level, is there a difference between the population means? |
a. | State the decision rule.(Negative amounts should be indicated by a minus sign.Round youranswerto 3 decimalplaces.) |
The decision rule is to rejectH0if t |
b. | Compute the pooled estimate of the population variance.(Round your answer to 3 decimal places.) |
Pooled estimate of the population variance |
c. | Compute theteststatistic.(Negative amount should be indicated by a minus sign.Round your answer to 3 decimal places.) |
Test statistic |
d. | State your decision about the nullhypothesis. |
(Click to select)Do not rejectRejectH0. |
e. | Thep-value is (Click to select)between 0.01 and 0.1between 0.02 and 0.05between 0.1 and 0.2between 0.001 and 0.01less than 0.001. |
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