Suppose ?1 and ?2 are true mean stopping distances at 50 mph for cars of a certain type equipped with two different types of braking systems. Use the two-sample t test at significance level 0.01 to test H0: ?1 − ?2 = −10 versus Ha: ?1 − ?2 < −10 for the following data: m = 8, x = 114.8, s1 = 5.01, n = 8, y = 129.9, and s2 = 5.35. Calculate the test statistic and determine the P-value. (Round your test statistic to one decimal place and your P-value to three decimal places.)

Suppose ?1 and ?2 are true mean stopping distances at 50 mph for cars of a certain type equipped with two different types of braking systems. Use the two-sample t test at significance level 0.01 to test H0: ?1 − ?2 = −10 versus Ha: ?1 − ?2 < −10 for the following data: m = 8, x = 114.8, s1 = 5.01, n = 8, y = 129.9, and s2 = 5.35. Calculate the test statistic and determine the P-value. (Round your test statistic to one decimal place and your P-value to three decimal places.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Question

Suppose ?₁ and ?₂ are true mean stopping distances at 50 mph for cars of a certain type equipped with two different types of braking systems. Use the two-sample t test at significance level 0.01 to test H₀: ?₁ − ?₂ = −10 versus H_a: ?₁ − ?₂ < −10 for the following data:

m = 8, x = 114.8, s₁ = 5.01, n = 8, y = 129.9, and s₂ = 5.35.

Calculate the test statistic and determine the P-value. (Round your test statistic to one decimal place and your P-value to three decimal places.)

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