Question

In a study on the likability of comedians, 10 participants observed one of two comedians (one

who was humorous and one who was not humorous), and rated how likeable these comedians

were on a 9-point scale from 1 (not likeable at all) to 9 (very likeable). The ratings are the data

below. Test to see if the humorous comedian was liked more or less than the nonhumorous

comedian, using alpha = .05 and four steps. Also calculate and interpret effect size and

explained variance if appropriate.

Upload your printout, and then answer questions about the

four steps and extras in t-test assignment.

Ratings for humorous comedian                    Ratings for nonhumorous comedian

8                                                                      2

6                                                                      3

7                                                                      4

4                                                                      5

5                                                                      1

Answer 1

The hypothesis being tested is:

H₀: µ₁ = µ₂

H₁: µ₁ ≠ µ₂

Ratings for humorous comedian	Ratings for nonhumorous comedian
6.00	3.00	mean
1.58	1.58	std. dev.
5	5	n
	8	df
	3.000	difference (Ratings for humorous comedian - Ratings for nonhumorous comedian)
	2.500	pooled variance
	1.581	pooled std. dev.
	1.000	standard error of difference
	0	hypothesized difference
	3.000	t
	.0171	p-value (two-tailed)
	1.897	Cohen's =d
	0.529	r²

The test statistic is 3.

The p-value is 0.0171.

Since the p-value (0.0171) is less than the significance level (0.05), we can reject the null hypothesis.

Therefore, we can conclude that the humorous comedian was liked more or less than the nonhumorous comedian.

The effect size is 1.897.

This is a large effect.

The explained variance is 0.529.