In a completely randomized design for ANOVA, the number of degrees of freedom for the numerator and denominator are 3 and 16, respectively. The total number of observations must equal:
a. 20
b. 48
c. 32
d. 19
e. 24
Q. 2The degrees of freedom for a denominator in a one-way ANOVA test including 3 population means with 10 observations sampled from each population is equal to:
a. 30
b. 27
c. 13
d. 12
e. 9
Q. 3In the completely randomized design of ANOVA where there are k treatments and n observations, the degrees of freedom for the F-statistic are equal to:
a. n and k
b. k and n
c. n - k and k - 1
d. k - 1 and n - k
e. n - 1 and k - 1
Q. 4Which of the following is not true of the F-distribution?
a. It is symmetric around zero.
b. It is skewed to the right.
c. Its values are always positive.
d. It is used in ANOVA test.
e. All of these.
Q. 5The distribution of the test statistic for analysis of variance is the:
a. normal distribution
b. Student t-distribution
c. F-distribution
d. binomial distribution
e. chi-square distribution
Q. 6Which of the following is not a required condition for one-way ANOVA?
a. The populations are normally distributed.
b. The sample sizes must be equal.
c. The population variances are equal.
d. The samples are selected randomly and independently from their respective populations.
e. None of these.
Q. 7The margin of error is:
a. the difference between the point estimate and the true value of the population parameter
b. the critical value times the standard error of the estimator
c. the smallest possible sampling error
d. both the difference between the point estimate and the true value of the population parameter and the critical value times the standard error of the estimator
e. none of these
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