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Insurance Company A claims that its customers pay less for car- insurance, on average, man customers of its competitor, Company B. You wonder if this is true, so you decide to compare the average monthly costs of similar insurance policies from the two companies. For a random sample of 8 people who buy insurance from Company A, the mean cost is $155 per month with a standard deviation of $15. For 13 l randomly selected customers of Company B, you nd that they pay a mean of$160 per month with a i standard deviation of $13. Assume that both populations are approximately normal and that the 1 population variances are equal to test Company A's claim at the 0.01 level of signicance. Let customers of Company A be Population 1 and let customers of Company B be Population 2. Step 2 of 3 : Compute the value of the test statistic. Round your answer to three decimal places