# MCQs: ANOVA & Hypothesis Testing

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10) For a sample size of 1, the sampling distribution of the mean will be normally distributed

A.

Regardless of the shape of the population.

B.

Only if the population values are larger than 30.

C.

Only if the shape of the population is positively skewed.

D.

Only if the population is normally distributed.

11) The standard error of the sample mean is equal to 5 when n=25. If the sample size increases by a factor of four, who will the standard error change?

A.

It will double.

B.

It will be cut to ¼ of 5.

C.

It will be cut in half.

D.

It will quadruple.

12) A random variable follows the Student's t distribution. The probability that it will be positive is

A.

1

B.

Less than 0.50

C.

.05

D.

0

13) A test for equality of two variances is based on

A.

the difference between the sample coefficients of variation.

B.

the difference between the population variances.

C.

the ratio of the sample variances.

D.

the difference between the sample variances.

14) When testing for differences between two means, the Behrens-Fisher problem arises when the sample populations are

A.

are non-normal and have equal variances.

B.

are normal with unequal variances.

C.

are non-normal and have unequal variances.

D.

normal with equal variances.

15) A test for equality of two variances has sample sizes n1 = 13 and n2 = 10. The degrees of freedom for the test are

A.

13 and 10.

B.

26.

C.

12 and 9.

D.

21.

16) In two-factor ANOVA, the MSE must always be positive, but MSA or MSB may be negative.

A.

True

B.

False

17) Main effects are simpler to interpret when the test of the interaction term is not significant in a two-factor ANOVA.

A.

True

B.

False

18) An analysis of variance (ANOVA) tests population variance.

A.

True

B.

False

19) Hartley's test measures the equality of the means for several groups.

A.

True

B.

False

20) When the problem objective is to compare more than two populations, the experimental design that is the counterpart of the matched pairs experiment is called the randomized block design.

A.

True

B.

False

21) Which of the following statistics from the ANOVA table do not have an additive relationship?

A.

Mean squares

B.

Degrees of freedom

C.

It is not possible to tell.

D.

Sum of squares

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The solution provides answers to multiple choice questions and true or false questions on ANOVA and hypothesis testing.

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