40. In testing H0: μ1 − μ2 = 5 vs. Ha: μ1 − μ2 > 5, the test statistic value z is found to be 1.69. What is the p-value of the test?
A: 0.0910
B: 0.0455
C: 0.3023
D: 0.1977
41. When testing H0: μ1 − μ2 = 0 vs. H1: μ1 − μ2 < 0, the observed value of the z-score was found to be −2.15. What would the p-value for this test be?
A: 0.0316
B: 0.0158
C: 0.9842
D: 0.9684
solution:
right tail
z= 1.69
P(z >1.69 ) = 1 - P(z < 1.69 ) = 1-0.9545=0.0455 using z table
P-value = 0.0455
b.
left tail
z=-2.15
P(z < -2.15 ) = 0.0158 using z table
P-value = 0.0158
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