Allstate Insurance is one of major automobile insurance companies in country, Currently the western region claims manager instructed an intern in her department to make a confidence interval estimate of the difference between mean years that male customers have been insured by Allstate versus female customers. The intern randomly chosen 13 male and 13 female customers from the account records and recorded number of years that the customer had been insured by Allstate. These data (rounded to the nearest year) are as follows:
Males: 14 9 9 16 14 8 12 11 6 9 10 7 3
Females: 3 10 4 7 10 5 4 1 4 4 6 9 2
Based upon these data, make and interpret a 90% confidence interval estimate for the difference between the mean years for male and female customers.