MATH-150 Test #3 Page 5 of 7 9. Two samples are independent and randomly selected from each population which is normally distributed. The sample statistics are n1 = 27, 1 = 94, s1 = 2.7, n2 = 30, 2 = 89, s2 = 1.8. Assume 1 = 2 but are unknown. Use a significance level of 0.01. Test the claim that 1 > 2. Use this information to answer parts a) - g). a) State the hypotheses and label the claim. b) State the significance level (). ____________ c) Is the test left-tailed, right-tailed, or two-tailed (circle one)? d) What is the critical value(s)? e) What is the P-value and test-statistic? f) State the conclusion. g) Find a 99% confidence interval estimate about the difference between the population means.