Question 21 In the repeated-measures t statistic, the value for the estimated st

Question

Question 21   

In the repeated-measures t statistic, the value for the estimated standard error in the denominator is computed entirely from the sample data.

False

True

Question 22   

A researcher conducts a repeated-measures study to evaluate a treatment with a sample of n = 16 participants and obtains a t statistic of t = 1.94. The treatment is expected to increase scores and the sample mean shows an increase. Which of the following is the correct decision for a hypothesis test using a = .05.

A. Fail to reject the null hypothesis with a one-tailed test but reject with two tails.

B. Reject the null hypothesis with a one-tailed test but fail to reject with two tails.

C. Fail to reject the null hypothesis with either a one-tailed or a two-tailed test.

D. Reject the null hypothesis with either a one-tailed or a two-tailed test.

Question 23

A repeated-measures study and an independent-measures study both produce a t statistic with df = 20. The repeated-measures study used more subjects than the independent-measures study.

False

True

Question 24   

Assuming that other factors are held constant, which of the following would tend to increase the likelihood of rejecting the null hypothesis?

A. Increase the sample variance.

B. Increase the sample mean difference.

C. None of the other three options would increase the likelihood.

D. Decrease the sample size.

Question 25

One advantage of a repeated-measures design is that it typically requires fewer participants than an independent-measures design.

False

True

Explanation / Answer

Answer to question # 21)

In repeated measures t test

we get the standard error from the standard deviations of the two sample sand the two sample sizes

Standard error = sqrt( s1 ^2 / n1 + s2 ^2 / n2)

where s1 = sample standard deivation of group 1

n1 = sample size of group 1

s2 = sample standard deviation of group 2

n2 = sample size of group 2

Thus this statement is TRUE

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