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Essentials of Statistics for the B...

8th Edition
Frederick J Gravetter + 1 other
ISBN: 9781133956570

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BuyFindarrow_forward

Essentials of Statistics for the B...

8th Edition
Frederick J Gravetter + 1 other
ISBN: 9781133956570
Textbook Problem

Research results indicate that physically attractive people are also perceived as being more intelligent (Eagly, Ashmore, Makhijani, & Longo, 1991). As a demonstration of this phenomenon, a researcher obtained a set of 10 photographs, 5 showing men who were judged to be attractive and 5 showing men who were judged to be unattractive. The photographs were shown to a sample of n = 25 college students and the students were asked to rate the intelligence of the person in the photo on a scale from 1 to 10. For each student, the researcher determined the average rating for the 5 attractive photos and the average for the 5 unattractive photos, and then computed the difference between the two scores. For the entire sample, the average difference was MD = 2.7 (attractive photos rated higher) with s = 2.00. Are the data sufficient to conclude that there was a significant difference in perceived intelligence for the two sets of photos? Use a two-tailed test with α = .05.

To determine

To check: Whether there is a significant difference in perceived intelligence for the two sets of photos.

Explanation

Given info:

Numbers of college students in the sample are n=25 .

Average difference was MD=2.7 .

Sample standard deviation was s=2 .

Level of significance for two tailed test is α=0.05 .

Calculation:

The hypotheses are given below:

Null Hypothesis: There is no difference in the perceived intelligence for the two sets of photos. That is μD=0 .

Alternate Hypothesis: There is significant difference in the perceived intelligence for the two sets of photos. That is μD0

In repeated-measures study, t statistic under null hypothesis is given by:

t=MDμDsn=2

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