Question

Suppose μ₁ and μ₂ 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: μ₁ − μ₂ = −10 versus H_a: μ₁ − μ₂ < −10 for the following data: m = 6, x = 114.8, s₁ = 5.05, n = 6, y = 129.4, and s₂ = 5.33.

Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places 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.

Answer 1