Suppose μ₁ and μ are true mean stopping distances at 50 mph for cars of a certain type equipped with two different types

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Suppose μ₁ and μ 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 H₁: µ₁ −µ₂ = −10 versus Ha: M₁-M₂ < -10 for the following data: m = 5, x = 113.6, s₁ = 5.07, n = 5, y = 129.9, and s₂ = 5.33. 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. 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. ● 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.