There is some evidence that people with visible tatoos are viewed more negativel
ID: 3264389 • Letter: T
Question
There is some evidence that people with visible tatoos are viewed more negatively than people without visible tattoos. In a similar study, a researcher first obtains overall ratings of atractiveness for a woman with no tattoos shown in a color photograph. On a 7-point scale, the woman receives an average rating of mu = 4.9, and the distribution of ratings is normal with a standard deviation of sigma = 0.84. The researcher then modifies the photo by adding a tattoo of a butterfly on the woman's left arm. The modified photo is then shown to a sample of n = 16 students at a local college, and the students use the same 7-point scale to rate the attractiveness of the woman. The average score for the photo with the tatoo is M = 4.2.
Do the data indicate a significant difference in rated attractiveness when the woman appeared to have a tattoo? Use two-tailed test with alpha = .05.
With z = a) -3.33 b) -0.833 c) -0.7 d) -13.33 , there a) is b)is not a significant difference.
Compute Cohen's d to measure the size of the effect. Round to 3 decimal places.
d=_________
Complete the sentence describing the outcome of the hypothesis test and the measure of the effect size as it would appear in a research report.
The results a) indicate b) do not indicate c) disprove that the presence of a tattoo a) does not have b) has a significant effect on the judged attractiveness of a woman; a) mu = 4.9 b) z=+/-1.96 c) M=4.2 d) z= -3.33
.... and a) sigma =0.84 b) sigma M = 0.21 c) on a 7-point scale d) p<.05
.... and a) M - mu = -0.7 b) n=16 c) d=0.833 d) mu>/=4.9.
Explanation / Answer
MEan average rating = 4.9
Standard deviaiton of population sigma = 0.84
sample average rating x- bar = 4.2
Test statistic
Z = (x-bar - )/ ( /n) = (4.2 - 4.9)/ (0.84/ 16) = (-0.7)/ (0.21) = -3.33
Critical value of z = +-1.96 so here Z > Zcritical , so we will reject the null hypothesis .
Cohen's d = (x-bar - )/ () = ( 4.2 - 4.9)/ 0.84 = 0.833
The results indicate that the presence of a tattoo has a significant effect on the judged attractiveness of a woman; a) mu = 4.9 b) z=+/-1.96 c) M=4.2 d) z= -3.33
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