In a two-factor ANOVA, there are 4 levels for factor A, 5 levels for factor B, and 3 observations for each combination of factor A and factor B levels. The number of treatments in this experiment equals:
a. 16
b. 20
c. 25
d. 60
Q. 2The mean of the sample means and the pooled standard deviation of 25 samples of size 4 taken from a production process under control are found to be 150 and 10, respectively. The centerline for the chart is:
a. 150
b. 100
c. 250
d. 6
Q. 3In the two-factor ANOVA where a is the number of factor A levels, b is the number of factor B levels, r is the number of replicates, and n is the total number of observations, the number of degrees of freedom for error is:
a. (a - 1)(b - 1)
b. abr - 1
c. r(a - 1)(b - 1)
d. n - ab
Q. 4To determine whether the process distribution standard deviation has changed, we use a(n):
a. x chart.
b. S chart.
c. p chart.
d. All of these choices are true.
Q. 5When the effect of a level for one factor depends on which level of another factor is present, the most appropriate ANOVA design to use in this situation is the:
a. One-way ANOVA with 2 treatments.
b. Two-factor ANOVA with interaction.
c. Two-factor ANOVA with no interaction.
d. None of these choices.
Q. 6The x chart helps with questions about whether the process is producing the correct or acceptable mean.
Indicate whether the statement is true or false
Q. 7In the two-factor ANOVA where a is the number of factor A levels, b is the number of factor B levels, and r is the number of replicates, the number of degrees of freedom for interaction is:
a. (a - 1)(b - 1)
b. abr - 1
c. (a - 1)(r - 1)
d. n - ab
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