In: Math
Does Red Increase Men’s Attraction to Women?
A study1 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 1 and the data for both groups are reasonably
symmetric with no outliers.
Color | n | x¯ | s |
---|---|---|---|
Red | 15 | 7.2 | 0.6 |
White | 12 | 6.1 | 0.4 |
Table 1 Does red increase men’s attraction to women?
To determine the possible effect size of the red background over
the white, find a 99% confidence interval for the difference in
mean attractiveness rating μR-μW, where μR represents the mean
rating with the red background and μW represents the mean rating
with the white background.
Round your answers to two decimal places.
The 99% confidence interval is