In: Statistics and Probability
Researchers are investigating how eye color affects trustworthiness. In their experiment, the researchers took photographs of 80 students, 40 of whom had brown eyes, and 40 of whom had blue eyes. They then recruited 105 participants, who judged each of the photographs on a 10 points trustworthiness scale (1pt=very untrustworthy, 10pts=very trustworthy). The mean score for brown-eyed students was 5.55, with a standard deviation of 1.68. For blue-eyed students the mean score was 4.62, with a standard deviation of 1.53.
Find the 95% confidence interval