The studentized range is the difference between the smallest and the largest in a set of k samples means. It is used for determining whether there is a difference in a pair of population means.
Indicate whether the statement is true or false
Q. 2A professor of statistics in Michigan State University wants to determine whether the average starting salaries among graduates of the 15 universities in Michigan are equal. A sample of 25 recent graduates from each university was randomly taken. The appropriate critical value for the ANOVA test is obtained from the F-distribution with degrees of freedom and is equal to:
a. 15 and 25
b. 14 and 360
c. 360 and 14
d. 25 and 15
e. 25 and 10
Q. 3For which of the following departures from the conditions required for a completely randomized design is the procedure not considered robust?
a. The populations are not normally distributed.
b. The population variances are not equal.
c. The samples are not independent.
d. All of these.
e. None of these.
Q. 4The number of degrees of freedom for the denominator in one-way ANOVA test involving 4 population means with 15 observations sampled from each population is:
a. 60
b. 19
c. 56
d. 45
e. 34
Q. 5In 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
e. 31
Q. 6One-way ANOVA is applied to three independent samples having means 10, 13, and 18, respectively. If each observation in the third sample were increased by 30, the value of the F-statistics would:
a. increase
b. decrease
c. remain unchanged
d. increase by 30
e. increase by 60
Q. 7The distribution of the test statistic for analysis of variance is:
a. the normal distribution
b. the Student t-distribution
c. the F distribution
d. the chi-squared distribution
e. none of these
Q. 8The analysis of variance is a procedure that allows statisticians to compare two or more population:
a. means
b. proportions
c. variances
d. standard deviations
e. none of these
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