These questions are all under the same question using the data listed in the problem.

There is a war between two schools about the quality of students. Students of both schools claim they are better. As an independent party conduct a test to test the claim that the two schools are different. Assume equal varaince in population. You are given test scores of 8 students of each school to test the claim. Use 1% level of significance. School 1 School 2 530 670 690 770 910 1000 DATA ---> 700 710 450 550 820 870 820 770 630 610 I. It is one tail test (True/False). II. Referring to problem the number of degrees of freedom is III. the value of the sample mean difference is if the difference scores reflect the results of the exam after the course minus the results of the exam before the course. IV. Referring to problem what are the two critical value for testing at the 1% level of significancev. Referring to problem, at the 0.01 level of significance, the decision for this hypothesis test would be: a) reject the null hypothesis. b) do not reject the null hypothesis. c) reject the alternative hypothesis. d) It cannot be determined from the information given. VI. Referring to problem at the 0.05 level of significance, the conclusion for this hypothesis test is that there : a. is sufficient evidence that quality of students at two schools is different. b. is not sufficient evidence that quality of students at two schools is different. c is sufficient evidence that no conclusion can be drawn from the information given. VIII. Referring to problem, the p-value of the test statistic is