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 Ho: #₁ #₂ = -10 versus Ha: H₁ H₂ < -10 for the following data: m = 5, x= 113.4, s₁=5.05, n = 5, y = 129.9, and s₂ = 5.39. USE SALT 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.) P-value= State the conclusion in the problem context. O Reject Ho. The data suggests that the difference between mean stopping distances less than 10. O Reject Ho. The data does not suggest that the difference between mean stopping distances is less than -10. O Fail to reject Ho. The data suggests that the difference between mean stopping distances is less than 10. O Fail to reject Ho. 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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Suppose μ₁ and M2 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 Ho: M₁ - μ₂ = -10 versus H₂: M₁ - M₂ < -10 for
the following data: m = 5, x = 113.4, s₁ = 5.05, n = 5, y = 129.9, and s₂ = 5.39.
USE SALT
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.
O Reject Ho. The data suggests that the difference between mean stopping distances is less than -10.
Reject Ho. The data does not suggest that the difference between mean stopping distances is less than -10.
O Fail to reject Ho. The data suggests that the difference between mean stopping distances is less than -10.
O Fail to reject Ho. 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.
Transcribed Image Text:Suppose μ₁ and M2 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 Ho: M₁ - μ₂ = -10 versus H₂: M₁ - M₂ < -10 for the following data: m = 5, x = 113.4, s₁ = 5.05, n = 5, y = 129.9, and s₂ = 5.39. USE SALT 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. O Reject Ho. The data suggests that the difference between mean stopping distances is less than -10. Reject Ho. The data does not suggest that the difference between mean stopping distances is less than -10. O Fail to reject Ho. The data suggests that the difference between mean stopping distances is less than -10. O Fail to reject Ho. 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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