In: Statistics and Probability
. In a study of perceived intelligence subjects were asked to rate pictures of individuals without glasses and pictures of those same individuals with glasses. Ratings of intelligence are given below (A higher score indicates higher perceived intelligence). Test whether the glasses has any effect on perceived intelligence.
Subject # |
W/O Glasses |
With Glasses |
1 |
14 |
17 |
2 |
10 |
16 |
3 |
18 |
25 |
4 |
17 |
19 |
5 |
4 |
6 |
6 |
1 |
8 |
7 |
11 |
12 |
8 |
21 |
26 |
9 |
15 |
20 |
10 |
28 |
30 |
11 |
10 |
13 |
12 |
14 |
18 |
13 |
6 |
11 |
14 |
9 |
10 |
. State the null and alternative hypothesis.
b. Conduct the most appropriate test.
c. What do you conclude?
d. If applicable, what is the 95% confidence interval?
Let us denote the difference
d = ratings W/O Glasses - ratings With Glasses
b) and c)
d)