Question

Suppose, and level 0.01 to test H 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 test at significance H - - -10 versus - # < -10 for the following data: m., 113.2, 5.0, - 129.3, and s, - 5.35. Calculate the test statistic and determine the P-value. (Round your test statistic to two decintal 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 H. The data does not suggest that the difference between mean stopping distances is less than-10 Fail to reject Ho. The data suggests that the difference between mean stopping distances is less than-1 Fall to reject . The data does not suggest that the difference between mean stopping distances is less than-10.

Answer 1

1)

null hypothesis: Alternate Hypothesis: H1-H12 H2-Hz 1st sample = 113.200 = 5.030 = 8.000 X2 S2 n 2nd sample = 129.300 = 5.380 = 8.000 Point estimate Ex1-x2 -16.100 s12 s22 (92 degree of freedom v = ($12, s22), (01) Freedom v = (ni + n2) (1 - 1) + (n2 - 1) 13.00 2.650 for 0.01 level with left tailed test and n-1= degree of freedom, critical value of t= Decision rule: reject Ho if test statistic t<-2.65 std error of difference= V(S?,/n,+?,/n) 2.604 test statt = (X7-X,-4.)/se -2.343

t =-2.34

p value =0.018

fail to reject Ho . The data does not suggest...........

2)

a) degree of freedom =14

b)

degree of freedom =25

c)

degree of freedom =24

d)

degree of freedom = 32