Question

Proportions 6.194 Does Red Increase Men's Attraction to Women? Exercise 1.99 on page 44 described a study46 which examines the impact of the color red on how attractive men perceive women to be. In the study, men were randomly divided into two groups and were asked to rate the attractiveness of women on a scale of 1 (not at all attractive) to 9 (extremely attractive). Men in one group were shown pictures of women on a white background while the men in the other group were shown the same pictures of women on a red background. The results are shown in Table 6.14 and the data for both groups are rea- sonably symmetric with no outliers. To determine the possible effect size of the red background over the white, find and interpret a 90% confidence inter- val for the difference in mean attractiveness rating. Table 6.14 Does red increase men's attraction to women? Color Red 15 7.2 0.6 White 12 6.1 0.4 tancou Hertz cience

Answer 1

Solution:

According to the provided information,

n = 15

nu = 12

Ir = 7.2

T = 6.1

Sy = 0.6

Sw = 0.4

The test statistic can be calculated as:

(ār – Iu) Etx SpV+ уп пю

Sp= (121–1)37+(12-1):53 n1+n2-2

$1 = 1

S2 = Su

df = ni+n2 - 2

t-value at 12+15-2 =25 degree of freedom 1.708 at 90% level of significance.

一 (7.2-6.1) +1.708 x 0.52 =+ 11归

(0.755.1.444)

Therefore, the 90% confidence interval is

(0.755.1.444)