Female 0 Male 1 3a. What statistical test should be used to determine whether th

Question

Female 0 Male 1

3a. What statistical test should be used to determine whether there is a significant relationship or difference between gender and weight image?
3b. Does this test indicate that there is a relationship or difference between males and females on the image variable; that is, can we reject the null hypothesis of no difference or relationship between gender and perceived image of weight (assume two-tailed test, alpha = .05)?

Gender

Gender

gpa image 0 1.50 3 0 3.25 3 0 3.00 3 0 3.00 3 0 4.00 3 0 2.50 3 0 3.25 4 0 2.75 4 0 3.75 3 0 3.00 3 0 4.00 3 0 3.50 3 0 4.00 3 0 2.75 2 0 1.75 5 0 2.25 3 0 3.33 3 0 3.75 3 0 4.00 2 0 3.25 3 1 2.75 3 1 2.75 3 1 2.75 3 1 2.25 4 1 3.00 2 1 3.25 3 1 2.25 4 1 1.75 2 1 2.25 3 1 3.25 3 1 1.00 4 1 3.00 2 1 2.50 3 1 2.00 4 1 2.25 3 1 2.75 3 1 3.00 2 1 3.50 3 1 3.75 2 1 2.50 3

Explanation / Answer

a)

I should use independent sample T test to determine whether there is a significant relationship or difference between gender and weight image.

b)

ho: there is no difference in mean weight image of male and female

h1: there is a difference in mean weight image of male and female

Sp^2 =(19*0.641^2+19*0.686^2)/(20+20-2) = 0.4407385

df= n1+n2-2 = 20+20-2 = 38

t= (3.1-2.95)/SQRT(0.440739*(1/20+1/20)) = 0.714497178

p-value = 2*(1-P(t<0.714497) = T.DIST.2T(0.714497,38) = 0.479286381

with t=0.714497, p>0.05, I fail to reject ho and conclude that there is no difference in mean weight image of male and female

female_image male_image mean 3.100 2.950 sd 0.641 0.686 n 20.000 20.000

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