Question

What is the F-critical value for a one-tail F-test if the numerator sample size is 21 (n₁) and the denominator sample size is 16 (n₂); use level of significance (α) 0.05.

Select one:

a. 3.37

b. -3.99

c. 2.33

d. 3

To test the effectiveness of a business school preparation course, 8 students took a general business test before and after the course. The results are given below.

                    Exam Score              Exam Score

Student   Before Course (1)       After Course (2)

1                            530                            670

2                            690                            770

3                            910                         1,000

4                            700                            710

5                            450                            550

6                            820                            870

7                            820                            770

8                            630                            610

Referring to above table, the value of the sample mean difference is ________ if the difference scores for each student reflect the results of the exam Before Course minus the results of the exam After Course.

Select one:

a. 400

b. -50

c. 0

d. 50

For a paired t-test with 28 samples, the degrees of freedom are--

Select one:

a. 20

b. 14

c. 27

d. 25

When testing H₀: π₁ - π₂ = 0 versus H₁: π₁ - π₂ > 0, the observed value of the Z test statistic was found to be 1.57. The p-value for this test is

Select one:

a. 0.1164

b. 0.9418.

c. 0.0332

d. 0.0582

Suppose, in testing a hypothesis about a mean, the p-value is computed to be 0.005. The null hypothesis should be rejected if the chosen level of significance (α) is 0.01.

Select one:

True

False

Answer 1

What is the F-critical value for a one-tail F-test if the numerator sample size is 21 (n₁) and the denominator sample size is 16 (n₂); use level of significance (α) 0.05.

c. 2.33

Referring to above table, the value of the sample mean difference is ________ if the difference scores for each student reflect the results of the exam Before Course minus the results of the exam After Course.

b. -50

For a paired t-test with 28 samples, the degrees of freedom are--

c. 27

When testing H₀: π₁ - π₂ = 0 versus H₁: π₁ - π₂ > 0, the observed value of the Z test statistic was found to be 1.57. The p-value for this test is

d. 0.0582

Suppose, in testing a hypothesis about a mean, the p-value is computed to be 0.005. The null hypothesis should be rejected if the chosen level of significance (α) is 0.01.

True