Question

2) A hypothesis will be used to test that a population mean equals 10 against the alternative that the population mean is greater than 10 with unknown variance. What is the critical value (Z a/2) for the test statistic T. for the following significance levels? a = 0.01 and n = 20 critical value > 2.539 a = 0.05 and n = 12 critical value > 1.796 a = 0.10 and n = 15 critical value > 1.345

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Answer 1

) 2. -0.01 n = 20. dof n-1 19. from to distribution table with d=0.01 & 19 d.f we get get te 2.539 (right-tailed test critical value Rejection Region : t > Q.539 for x = 0.05 n =12 d.F= 1 from t-table with 11 d. f & x=0.05 get te = 1.796 (right-tailed test) critical value = 1.796 Rejection region t >1.796

For 2 = 6.10 n=1s dof= 14 from t-table with in dof & = Ovo 1.345 e Cright tailed test) critical Value = 1.3.45 rejection regions : t7 1.345 tea

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