Allstate Insurance is one of the major automobile insurance companies in the country. The western region claims manager instructed an intern in her department to develop a confidence interval estimate of the difference between the mean years that male customers have been insured by Allstate versus female customers. The intern randomly selected 13 male and 13 female customers from the account records and recorded the number of years that each customer had been insured by Allstate.

These data (rounded to the nearest year) are as follows:

Males Females 14 9 9 16 3 10 4 7 14 8 12 11 10 5 4 1 6 9 10 7 4 4 6 9 3 2 Based on these data, construct and interpret a 90%

confidence interval estimate for the difference between the mean years for male and female customers. Assume equal population variances.