231. Two events, A and B, are said to be independent if:
P(A ∩ B) = P(A).P(B)
P(A ∩ B) = P(A) + P(B)
P(A | B) = P(B)
P(B | A) = P(A)
Correct answer: (A) P(A ∩ B) = P(A).P(B)
232. The value of E[X] is:
52/18
28/9
52/9
28/18
Correct answer: (C) 52/9
233. A null hypothesis is rejected if the value of a test statistic lies in the:
Rejection region
Acceptance region
Both (a) and (b)
Neither (a) nor (b)
Correct answer: (A) Rejection region
234. The chi-square goodness-of-fit test can be used to test for:
significance of sample statistics
difference between population means
normality
probability
Correct answer: (C) normality
235. What do ANOVA calculate?
Z-scores
F ratios
Chi square
T-scores
Correct answer: (B) F ratios
236. To determine whether the test statistic of ANOVA is statistically significant, it can be compared to a critical value. What two pieces of information are needed to determine the critical value?
Sample size, number of groups
Mean, sample standard deviation
Expected frequency, obtained frequency
MSTR The treatment mean square (MSTR), Mean Square Error (MSE)
Correct answer: (A) Sample size, number of groups
237. In a study, subjects are randomly assigned to one of three groups: control, experimental A, or experimental B. After treatment, the mean scores for the three groups are compared. The appropriate statistical test for comparing these means is:
the correlation coefficient
chi square
the t-test
the analysis of variance
Correct answer: (D) the analysis of variance
238. If the F-Value calculated from the data is 0.9, the result is statistically significant
Always
Sometimes
Never
Illogical Question
Correct answer: (C) Never
239. Which statement is true of an experiment of factorial design?
Independence or orthogonality is unaffected by the sizes of the participant samples in the various treatment combinations.
There are always at least two control groups.
Control over an independent variable is achieved by orthogonal variation with respect to the other independent variables.
There is always a single control group.
Correct answer: (C) Control over an independent variable is achieved by orthogonal variation with respect to the other independent variables.
240. What would the levels of the independent variables be for a two-way ANOVA investigating the effect of four different treatments for depression and gender?