A consumer protection magazine was interested in comparing tire purchased from two different companies that each claimed their tires would last 40,000 miles. A random sample of 10 tires of each brand was obtained and tested under simulated road conditions. The number of miles until the tread thickness reached a specific depth was recorded for all tires. The data are given next (in thousands miles)  Brand 1 38.9 39.7 42.3 39.5 39.6 35.6 36 39.2 37.6 39.5 Brand 2 44.6 46.9 48.7 41.5 37.5 33.1 43.4 36.5 32.5 42.0 a. Test the claim that Brand 1 and Brand 2 both have the same variances for tire life span. Use a 0.05 significance level. b. What is the P-value for your test in part(a)?

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A consumer protection magazine was interested in comparing tire purchased from two different companies that each claimed their tires would last 40,000 miles. A random sample of 10 tires of each brand was obtained and tested under simulated road conditions. The number of miles until the tread thickness reached a specific depth was recorded for all tires. The data are given next (in thousands miles) 

Brand 1

38.9

39.7

42.3

39.5

39.6

35.6

36

39.2

37.6

39.5

Brand 2 44.6 46.9

48.7

41.5 37.5 33.1 43.4 36.5 32.5 42.0

a. Test the claim that Brand 1 and Brand 2 both have the same variances for tire life span. Use a 0.05 significance level.

b. What is the P-value for your test in part(a)?

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