A researcher believes that alcohol intoxication might severely impair driving ab

Question

A researcher believes that alcohol intoxication might severely impair driving ability. To test this, he subjects 10 volunteers to a driving simulation test first while sober; and, then, after drinking amounts sufficient to raise their blood alcohol to .04. The researcher measures performance as the number of simulated obstacles with which the driver collides. Thus, the higher the number, the poorer the driving. The data is in the tab labeled Question 2. Test whether there are differences before and after drinking. a. What is the null hypothesis? b. What is the research hypothesis? c. What test will you run and why? d. What are the results of the hypothesis test? Interpret your findings.

Before drinking: 1,2,0,0,2,1,4,0,1,2,0 After Drinking: 4,2,1,2,5,3,3,2,4,3,1

Explanation / Answer

Here' the answer to the question:

2. Test whether there are differences before and after drinking.

a. What is the null hypothesis?

H0 : Mu1 - Mu2 = 0, where mu1 and mu2 are the mean collisons before and after driving respectively

b. What is the research hypothesis?

H0 : Mu1 - Mu2 != 0,

c. What test will you run and why?

There are 2 samples , 1 after and 1 before. We need to test means between them. Hence, it' the following test we are gonna use:

d. What are the results of the hypothesis test? Interpret your findings.

With a tstat of -2.87 the p value is <.05 incidicating that the null hypothesis is cancelled, We reject it

and conclude that " There is significant difference between the number of collisions after and before drinking"

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