Allstate Insurance is one of the major automobile insurance companies in the country. Recently, the western...
Allstate Insurance is one of the major automobile insurance companies in the country. Recently, the western region claims manager instructed an intern in her department to test if there exists any 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 the summary is given below (rounded to the nearest year).
Sample Mean - Male = 12, Sample Variance - Male = 3 Sample Mean - Female = 7, Sample Variance - Female = 4
a. Does this data suggest that there exists a difference in the average years insured by All State between male and female? Use α = 0.05.
b. Find the p-value for the test.
Please provide Hypothesis, Test Statistic, and Rejection Region Graph.
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