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:

  1. State the hypotheses.
  2. Find the critical value and the rejection rule for this test.
  3. Calculate .
  4. Compare with . State and interpret your conclusion.

Question 10.55

4. Test, at level of significance , whether .

Sample 1
Sample 2