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 = 5, x = 114.4, s1 = 5.09, n = 5, y = 129.7, and s2 = 5.31.
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.