Question

-/11 points DevoreStat9 9.E.019 My Now Suppose , and p following data: m are true mean stopping distances at 50 mph for cars of a certain type equipped with two diffenent types ef braking systems Use the two-sample t test at signficance level 0.03 to estMn- 5,x-114.5, s,-5.08, n-5, y 129.6, and s 5.37 0 wenus -10 for the Calculate the test statistic and determine the Pvalue. (Round your test statistic to two decimal places and your Pvalue to three decimal places) t P-value State the concusion in the problem context Reject H The data suggests that the difference between mean stopping distances is less than-10 Reject Ho: The data does not supgest that the dference between mean stopping distances is less than-10 Fail to reject Ha The dala suggests that the difference between mean stopping distances is less than-10 Fail to reject H The data does not suggest that the difference between mean stopping distances is less than-10

Answer 1

San Giren m = 5 え= |14-5 29.C 17 1 5 08 5.37 df mfn-2 = 5+S-2 8 Now m mtn-2 5 x (5.8)5x (s. 31)' 5+5-2 5 (54 6433)] s2 34. 152 o 6 2S 5.84 3977 Test Statistc )4.5-129 Ym-Ym 5.8431 ) - 15. 1 t = 4 o85 3. C16 055 to.s for 8 dfor one Tai) = - 2.896 eclim - 4. 08s P valne O. oo 1755 -2.81 -4.08s Conclnen Rejtel Ho Th dat ngut that the di fference betweem mean appin distance is len than -o