Question

A researcher conducts a repeated-measures experiment and reports t(19) = 2.071, p=0.001. (a) How many individuals participated in the entire study? (b) Using a two-tailed test with alpha = .05, is there a significance difference between the treatments? Justify your answer.

Answer 1

Answer: A researcher conducts a repeated-measures experiment and reports t(19) = 2.071, p=0.001.

Solution:

t(19) = 2.071

P-value = 0.001

(a) How many individuals participated in the entire study?

when comparing two treatments,

df = n1 + n2 - 2

19 = n1 + n2 -2

21 = n1+n2

Therefore, 21 individuals participated in the entire study.

(b) Using a two-tailed test with alpha = .05, is there a significance difference between the treatments?

At α = 0.05 and df = 19

t critical (0.025,19) = 2.093

Since, test statistic, t(2.071) < t critical (2.093)

we fail to reject the null hypothesis, Ho.

There is no significant difference between the treatments.