Suppose μ₁ 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 H₁: M₁ - ₂ = -10 versus H₂: μ₁ −μ₂ < -10 for the following data: m = 8, x = 114.4, s₁ = 5.07, n = 8, y = 129.5, 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. 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.

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Suppose μ₁ 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: M₁ - ₂ = −10 versus H₂: µ₁ −µ₂ < -10 for the following data: m = 8, x = 114.4, s₁ = 5.07, n = 8, y = 129.5, 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 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.
Transcribed Image Text:Suppose μ₁ 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: M₁ - ₂ = −10 versus H₂: µ₁ −µ₂ < -10 for the following data: m = 8, x = 114.4, s₁ = 5.07, n = 8, y = 129.5, 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 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.
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