Asking for some relevant work to be shown for each question.
6. The distribution of the test statistic for analysis of variance is the:
a. normal distribution.
b. Student t-distribution.
c. F-distribution.
d. None of these choices.
7. In a completely randomized design for ANOVA, the numerator and denominator degrees of freedom are 4 and 25, respectively. The total number of observations must equal:
a. 24
b. 25
c. 29
d. 30
8. How does conducting multiple t-tests compare to conducting a single F-test?
a. Multiple t-tests increases the chance of a Type I error.
b. Multiple t-tests decreases the chance of a Type I error.
c. Multiple t-tests does not affect the chance of a Type I error.
d. This comparison cannot be made without knowing the number of populations.
9. One-way ANOVA is applied to independent samples taken from three normally distributed populations with equal variances. Which of the following is the null hypothesis for this procedure?
a. µ1 + µ2 + µ3 = 0
b. µ1 + µ2 + µ3 ≠ 0
c. µ1 = µ2 = µ3 = 0
d. µ1 = µ2 = µ3
- Consider the following partial ANOVA table:
Source of Variation
|
SS
|
df
|
MS
|
F
|
Treatments
|
75
|
*
|
25
|
6.67
|
Error
|
60
|
*
|
3.75
|
|
Total
|
135
|
19
|
|
|
The numerator and denominator degrees of freedom for the F-test (identified by asterisks) are
a. 4 and 15
b. 3 and 16
c. 15 and 4
d. 16 and 3