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Test 4
4.Assume that both populations are normally distributed.
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a) Test whether ì1≠ì2 at the á=0.01 level of significance for the given sample data. b) Construct a 99% confidence interval about ì1−ì2. |
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a) Perform a hypothesis test. Determine the null and alternative hypotheses.
- H0: ì1≠ì2, H1: ì1=ì2
- H0: ì1=ì2, H1: ì1<ì2
- H0: ì1=ì2, H1: ì1>ì2
- H0: ì1=ì2, H1: ì1≠ì2
Determine the test statistic.
Determine the critical value(s). Select the correct choice below and fill in the answer box(es) within your choice.
The critical value is
The lower critical value is
The upper critical value is
Should the hypothesis be rejected?
__________ the null hypothesis because the test statistic _______ the critical region.
b) Construct a 99% confidence interval about ì1−ì2.
The confidence interval is the range from ____ to ____-