Please use the following information to answer 6a-6e:

In a study examining the effect of alcohol on reaction time,Liguoriand Robinson (2001) found that even moderate alcohol consumption significantly slower response time to an emergency situation in a driving simulation. In a similar study, researchers measured reaction time 30 minutes after participants consumed one 6-ounce glass of wine. Again, they used a standardized driving simulation task for which the regular population averages = 400 msec. The distribution of reaction times is approximately normal with= 40. Assume that the researcher obtained a sample mean ofx = 422 for then= 25 participants in the study.

Are the data sufficient to conclude that the alcohol has a significant effect on reaction time? Use a two-tailed test with= .01.

6a. Which of the following correctly represents the null and alternative hypothesis for the mentioned sample ofn= 25 (MUST SHOW WORK FOR THIS PROBLEM)?

a) Ho:< 400 H_1:400

b) Ho: 400 H_1:> 400

c) Ho:> 400

H_1: 400

d) Ho:= 400

H_1: 400

6b. Which of the followingrepresents the critical region for this mentioned sample(MUST SHOW WORK FOR THIS PROBLEM)?

Group of answer choices

a) z=-1.96

b) z=2.58

c) z= 2.58

d) z=1.96

6c. Compute the test statistic(z-observed) for the mentioned sample(MUST SHOW WORK FOR THIS PROBLEM).

Note:Must show calculations for standard error alongside the calculations for the test statistic.

6d.Based on the calculated test statistic,would you reject the null hypothesis established in question6a (MUST SHOW WORK FOR THIS PROBLEM)?

a) yes

b) no

6e.Based on the previously conducted steps,we can conclude(MUST SHOW WORK FOR THIS PROBLEM):

a) The alcohol significantly decreased reaction time.

b) The alcohol significantly increased reaction time.

c) The alcohol had a significant effect on reaction time.

d) The alcoholdidnot have asignificant effect on reaction time.