Quiz: Two-Sample z-test for Comparing Two Means

1. A two sample z-test for the difference in population means is conducted. Which is NOT a possible alternative hypothesis?
a. Ha: μ1 = μ2
b. Ha: μ1 ≠ μ2
c. Ha: μ1 – μ2 ≠ 0
2. A two sample z-test for the difference in population means is conducted. If the null hypothesis H0: μ1 = μ2 is true, then the center of the sampling distribution is
a. equation
b. equation
c. equation
3. A two sample z-test for the difference in population means is conducted with null hypothesis H0: μ1 = μ2. The standard error of the sampling distribution is
a. equation
b. equation
c. equation
4. Two random samples have been selected and a two sample z-test for the difference in population means is conducted with H0: μ1 = μ2 vs. Ha: μ1 ≠ μ2. The results are σ1 = 1.4, equation, n1 = 40, σ2 = 1.6, equation, and n2 = 44. The standard error of the sampling distribution is
a. 0.267
b. 0.327
c. 0.462
5. Two random samples have been selected and a two sample z-test for the difference in population means is conducted with H0: μ1 = μ2 vs. Ha: μ1 ≠ μ2. The results are σ1 = 1.4, equation, n1 = 40, σ2 = 1.6, equation, and n2 = 44. The value of the test statistic is
a. –0.749
b. –0.611
c. –0.431
6. Two random samples have been selected and a two sample z-test for the difference in population means is conducted with H0: μ1 = μ2 vs. Ha: μ1 ≠ μ2. The results are σ1 = 1.4, equation, n1 = 40, σ2 = 1.6, equation, and n2 = 44. The p-value is
a. 0.136
b. 0.271
c. 0.541
7. Two random samples have been selected, and a 95% confidence interval for the difference in population means is constructed. The results are σ1 = 1.4, equation, n1 = 40, σ2 = 1.6, equation, and n2 = 44. The confidence interval is:
a. (–0.842, 0.442)
b. (–0.739, 0.339)
c. (–1.107, 0.706)

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