Question

0-11 points Devorestaly 9.2.01 Suppose , and, 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-sampler test at significance level 0.01 to test Mo H. - H2 - - 10 versus M -H2 < -10 for the following data: m = 3x - 113.6, 5, -5.04, n=8,7 = 129.1, and sy 5.31. Calculate the test statistic and determine the p-value. (Round your test statistic to two decimal places and your value to three decimal places.) p.value State the conclusion in the problem context. Reject Ho. The data suggests that the difference between mean stopping distances is less than-10. Reject No. The data does not suggest that the difference between mean stopping distances is less than-10 Fail to reject HoThe data suggests that the difference between mean stopping distances is less than-10. Fall to reject No. The data does not suggest that the difference between mean stopping distances is less than 10. n er this question

Answer 1

Solution- Given data : n=8, X = 113.6 s1=5.04 ng 8, T = 129.1 , S2 = 5,37 Test statistis; to (5,-2) - (lla-lby? here Fr=Y Test Hypothesis. Ho! Mall, =-10 uls Hail-l22-10 t- (1136–129.1) -(-10) [t= -2.124 l degree of freedom = (mat, 1₂-1): (8-1, 8-1) smaller of two = 7 Tdf=7 J

At df = 7, t= -2.144 distribution toble from from Normal Pvalue = 0.035 significance lovel is oor pualue > 0.01 (significance value. It Pvalue y significance value we fail to reject does not The data suggest null bypothesis, that the is less distance dithevence between mean stopping than 10 toption o is right Answer.