# solution

Use the following information for questions 3-5 A random sample of twenty-five observations from the first population resulted in a standard deviation of 37. A random sample of sixteen observations from the second population resulted in a standard deviation of 24. The following hypotheses are given: Haz 0,8-0,9 = 0 Hy: 0; -0,*+0 3. State the decision rule for 0.10 significance level. (pay attention to df and how many tails) a) Reject Half F > 2.01 b) Reject Hy if F > 2.11 c) Reject He if F> 2.24 d) Reject H, if F> 2.29 4. Compute the value of the test statistic. a) F-0.42 b) F=0.65 c) F=1.54 d) F= 2.38 5. What is your decision and at the 0.10 significance level (use 0.05 as we have two tails), is there a difference in the variation of the two populations? a) Do not reject Ho. There is no difference in the variations of the two populations. b) Do not reject He. There is a difference in the variations of the two populations. c) Reject Ho. There is a difference in the variations of the two populations. d) Reject Ho. There is no difference in the variations of the two populations.

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