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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

There is some evidence indicating that people with visible tattoos ore viewed more negatively than people without visible tattoos (Resenhoeft, Villa, & Wiseman. 2008). In a similar study, a researcher first obtained overall ratings of attractiveness for a woman with no tattoos shown in a color photograph, On a 7-point scale, the woman received an average rating of μ = 4.9, and the distribution of ratings was normal with a standard deviation of σ = 0.84. The researcher then modified the photo by adding a tattoo of a butterfly on the woman's left arm. The modified photo was then shown to a sample of n = 16 students at a local community college and the students used the same 7-point scale to rate the attractiveness of the woman the average score for the photo with the tattoo was M = 4.2.

  1. a. Do the data indicate a significant difference in rated attractiveness when the woman appeared to have a tattoo? Use a two-tailed test with α = .05
  2. b. Compute Cohen's d to measure the size of the effect.
  3. c. Write a sentence describing the outcome of the hypothesis test and the measure of effect sire as it would appear in a research report.

a.

To determine
If the data in dilate significant different in rated attractiveness when the women appeared to have a tattoo, using a two tailed test with α=0.05.

Explanation

Given info:

The value of μ=4.9, M=4.2, σ=0.84 and n=16.

Calculation:

State the test hypotheses.

Null hypothesis:

H0:μ=4.9

That is, there is no significant difference in rated attractiveness when the women appeared to have a tattoo.

Alternative hypothesis:

H1:μ4.5

That is, there is a significant difference in rated attractiveness when the women appeared to have a tattoo.

With α=0.05, the critical boundaries come out to be z=±1

b.

To determine
Compute Cohen’s d to measure effect size.

c.

To determine

To write: The sentence describing the outcome of the hypothesis test and the measure of the effect size as it would appear in research report.

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