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 = 114.4, s1 = 5.07, n = 8, y = 129.5, and s2 = 5.39. 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.)t = P-value = State the conclusion in the problem context.Reject H0. The data suggests that the difference between mean stopping distances is less than −10.Reject H0. The data does not suggest that the difference between mean stopping distances is less than −10. Fail to reject H0. The data suggests that the difference between mean stopping distances is less than −10.Fail to reject H0. The data does not suggest that the difference between mean stopping distances is less than −10.You may need to use the appropriate table in the Appendix of Tables to answer this question.

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Description: 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

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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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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 = 114.4, s₁ = 5.07, n = 8, y = 129.5, and s₂ = 5.39.

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.)

t	=
P-value	=

State the conclusion in the problem context.

Reject H₀. The data suggests that the difference between mean stopping distances is less than −10.Reject H₀. The data does not suggest that the difference between mean stopping distances is less than −10. Fail to reject H₀. The data suggests that the difference between mean stopping distances is less than −10.Fail to reject H₀. The data does not suggest that the difference between mean stopping distances is less than −10.

You may need to use the appropriate table in the Appendix of Tables to answer this question.

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