QA

Independent random samples from two normal populations produced the variances listed here. Sample Size Sample Variance 16 55.4 25 32.3 (a) Do the data provide sufficient evidence to indicate that o, 02 OH : 51- T, 2 = 0,2 versus Ha: 012 1 2 02 2 OH: 0, 2 # 02 2 versus Ha : 015 = 02 2 OH: 0 12 T, 2 = 0,2 versus H: 012 02 OH : 5 2 = 02 2 versus H: 0 2 0,2 State the test statistic. (Round your answer to two decimal places.) F = State the rejection region. (Round your answer to two decimal places.) F > State the conclusion. O H is rejected. There is sufficient evidence to indicate that o, - differs from o2 2. O Ho is rejected. There is insufficient evidence to indicate that o, o, 2? Test using a = 0.05. State the null and alternative hypotheses. O Ho : 0, 2 > 02 2 versus Ha: 012 0, 2 versus H : 01 2 = 0,2 OH : 0 2 = 0, 2 versus Ha : 0, 2 > 0, OH: 0 2 0,2 OH: 012 2 + 0,2 versus Ha: 012 1 2>02 2 State the test statistic. (Round your answer to two decimal places.) F = State the rejection region. (Round your answer to two decimal places.) F >The SAT subject tests in chemistry and physics for two groups of 16 students each electing to take these tests are given below. Chemistry Physics x = 643 x = 655 s = 114 S = 101 n = 16 n = 16 To use the two-sample t-test with a pooled estimate of oz, you must assume that the two population variances are equal. Test this assumption using the F-test for equality of variances. (Use a = 0.05.) State the null and alternative hypotheses. O Ho: 012 02- J,2 versus Ha: 012 = 022 OH: 0 2 = 02 2 versus Ha: 0 2 02 O Ho: 0 2 = 02 2 versus Ha: 012 > 02 O Ho: 012 = 022 versus Ha: 012 + 022 State the test statistic. (Round your answer to two decimal places.) F = State the rejection region. (Round your answer to two decimal places.) F >