QUESTION 1 When necessary conditions are met, a one tailed test
is being conducted to test the difference between two populations.
If the test statistics is 2:14, the p-value is
(1) 0:9838
(2) 0:0162
(3) 0:0179
(4) 0:1075
(5) 0:8925
QUESTION 2 Independent random samples of sizes n1 D 16 and n2 D
20 were selected from populations with parameters 1 D 10; 1 D 2; 2
D 20 and 2 D 2:8284: The E-tutor wants to test if the two
population means are different. Which one of the following
statements is incorrect?
(1) H0 : 12D0 vs H1:126D0
(2) The standard error for Nx1 Nx2 is 0:8602:
(3) The critical value at 5% level is 1:96:
(4) The rejection region is z > 1;96 and z < 1;91:
(5) Nx1 N x2 is normally distributed if the populations are
normal.
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