Question

an auto dealer would like to determine if there is a difference in the braking distance (the number of feet required to go from 60 mph to 0 mph) of two different models of a high - end sedan. six drivers are randomly selected and asked to drive both models and brake once they have reached exactly 60 mph. the distance required to come to a complete halt is then measured in feet. the results of the test are as follows. can the auto dealer conclude that there is a significant difference in the braking distances of the two models? use $alpha = 0.01$. let the braking distances of model a represent population 1 and the braking distances of model b represent population 2.

braking distance of high - end sedans (feet)
model a	148	147	145	146	158	157
model b	150	152	147	146	159	159

step 1 of 3: state the null and alternative hypotheses for the test. fill in the blank below.
$h_0:mu_d = 0$
$h_a:mu_d ____ 0$
answer
<
$
eq$

Explanation:

Step1: Understand the test purpose

The auto - dealer wants to determine if there is a significant difference in braking distances. A two - tailed test is appropriate. In a two - tailed test for the difference in means of paired samples (same drivers drive both models), the alternative hypothesis is that the mean difference $\mu_d
eq0$.

Answer:

$
eq$