Use the following information for this and the next two questions: Students in a large lecture class want to know who has, on average, more Facebook friends, male or female students. The data for the students are displayed in the provided dotplots and summary statistics are available in the provided table. Is it reasonable to use a t-distribution for inference about the difference in mean number of Facebook friends for male and female students at this university? Explain briefly.

-Construct and interpret a 95% confidence interval for the difference in mean number of Facebook friends for male and female students at this university. Use two decimal places in your margin of error.

Gender n x-bar s

male 68 678.9 317.6

female 91 616.1 330.6