For Exercises 3–6, perform the indicated Welch's hypothesis test using the critical-value method. The summary statistics were taken from random samples that were drawn independently. For each exercise, follow these steps:
3. Test, at level of significance , whether .
Sample 1 | |||
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Sample 2 |
10.2.3
(a) vs. (b) . Reject if or . (c) . (d) Since , we reject . There is evidence that the population mean for Population 1 is different from the population mean for Population 2.