3 A researcher was interested in the effect of wearing brigh

3. A researcher was interested in the effect of wearing bright clothing on the competency rating of job interviewers. Two groups of n=10 interviewers were asked to rate how competent they believed their interviewee was after a 15 minute interview. For each of the interviewers, all the information presented was the same. The only difference was whether they were wearing bright clothes or dark clothes. The interviewers gave the individuals wearing bright clothes an average competence rating of M = 8.9 out of 10 with an estimated standard error of 1.56 points, and gave the individuals wearing dark clothing an average competency rating of M = 6.4 out of 10 with an estimated standard error of 2.04 points. After analyses were completed, researchers obtained a sample statistic of t = 1.98. Is there any significant difference in competency ratings for individuals based on the brightness of their clothing? Note: a related samples t-test was done. (Do not just answer yes or no; show steps 1, 2, and 4. Step 3 is done for you. If you do not show all of these steps, you will not receive credit.) (2 points)

Solution

T = 1.98

for alpha = 0.05

df = 10-1=9

critical value: 1.833

as you can see T value is greater than criticalvalue so

we reject Ho