Let ?1 denote true average tread life for a premium brand of P205/65R15 radial tire, and let ?2 denote the true average tread life for an economy brand of the same size. Test H0: ?1 − ?2 = 5000 versus Ha: ?1 − ?2 > 5000 at level 0.01, using the following data: m = 45, x = 42,100, s1 = 2400, n = 45, y = 36,200, and s2 = 1800. Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) z = P-value = State the conclusion in the problem context.Fail to reject H0. The data does not suggest that the difference in average tread life exceeds 5000.Reject H0. The data suggests that the difference in average tread life exceeds 5000. Fail to reject H0. The data suggests that the difference in average tread life exceeds 5000.Reject H0. The data does not suggest that the difference in average tread life exceeds 5000.

Answer Given Sample mean [x] =42100 Sample mean [y] =36200 Sample standard deviation [s1] =2400…

Answered: Let ?1 denote true average tread life…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 94E

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Let ?₁ denote true average tread life for a premium brand of P205/65R15 radial tire, and let ?₂ denote the true average tread life for an economy brand of the same size. Test H₀: ?₁ − ?₂ = 5000 versus H_a: ?₁ − ?₂ > 5000 at level 0.01, using the following data: m = 45, x = 42,100, s₁ = 2400, n = 45, y = 36,200, and s₂ = 1800.
Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.)

z	=
P-value	=

State the conclusion in the problem context.

Fail to reject H₀. The data does not suggest that the difference in average tread life exceeds 5000.Reject H₀. The data suggests that the difference in average tread life exceeds 5000. Fail to reject H₀. The data suggests that the difference in average tread life exceeds 5000.Reject H₀. The data does not suggest that the difference in average tread life exceeds 5000.

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