Question

1. For testing H0 : µ = 0 vs. Ha : µ > 0, H0 is rejected if X >¯ 1.645, given n = 36 and σ = 6. What is the value of α, i.e., maximum probability of Type I error?

A. 0.90 B. 0.10 C. 0.05 D. 0.01

2. For testing H0 : µ = 0 vs. Ha : µ > 0, H0 is rejected if X >¯ 1.645, given n = 36 and σ = 6. What is the value of β, i.e., probability of Type II error when true µ = 3?

A. 0.087 B. 0.100 C. 0.050 D. 0.953

3. An appropriate p-value for testing H0 : µ = 0 vs. Ha : µ = 0 with a test statistic (following normal 6 distribution) value z0 = 2.33 should be

A. 0.05 B. 0.02 C. 0.01 D. 0.90

4. A 95% confidence interval (C.I.) for µ is (2.5, 3.9), which means

A. we are 95% confident that the sample mean X¯ lies between (2.5, 3.9).

B. we are 95% confident that the population mean µ lies between (2.5, 3.9).

C. the probability that the sample mean X¯ lies between (2.5, 3.9) is 0.95.

D. the probability that the population mean µ lies between (2.5, 3.9) is 0.95.

Answer 1