Answer Happy

The number of men and women among professors in Math, Physics, Chemistry, Linguistics, and English departments from a SRS of small colleges were counted, and the results are shown in the table below. Dept. Math Physics Chemistry Linguistics English Men 49 83 30 21 41 Women 5 9 10 10 15 Test the claim that the gender of a professor is independent of the department. Use the significance level a = 0.01 (a) The test statistic is x² = (b) The critical value is x² = fel Iraka f

Test the claim that the two samples described below come from populations with the same mean. Assume that the samples are independent simple random samples. Use a significance level of 0.05. ₁ = 17, 8₁ = 5. Sample 1: n₁ = 71, Sample 2: n₂ = 83, 2= 13, 82= 1.5. The test statistic is The P-Value is

Test the claim that the two samples described below come from populations with the same mean. Assume that the samples are independent simple random samples. Use a significance level of a = 0.01 Sample 1: n₁6, ₁28.6, ₁6.67 Sample 2: n₂-3, -21.4, 8₂-5.15 (a) The degree of freedom is (b) The test statistic is