Reaction time ~ For a special back-to-school event, the student council at a small liberal arts college invited a panel of 7 recent graduates to help demonstrate to students the adverse effect of alcohol on reaction time. The reaction times (in seconds) before and after consuming four alcoholic drinks are shown in the table.
Participant Before After Difference = After - Before
1 0.32 0.4 0.08
2 0.36 0.4 0.04
3 0.43 0.52 0.09
4 0.39 0.45 0.06
5 0.35 0.46 0.11
6 0.38 0.49 0.11
7 0.36 0.43 0.07
Round all calculated values to 4 decimal places as appropriate.
1. Which set of hypotheses should we use to conduct a paired difference test to determine if drinking increases reaction time?
A. H0:μdiff=0 vs. Ha:μdiff<0
B. H0:μdiff=0 vs. Ha:μdiff>0
C. H0:μdiff<0.08 vs. Ha:μdiff>0.08
D. H0:μdiff=0 vs. Ha:μdiff≠0
2. What conditions must be met if we want to perform this hypothesis test? Select all that apply:
A. Large samples and no extreme outliers.

B. Independently sampled pairs.

C. np≥10 and n(1−p)≥10

D. There must be an expected count of at least 5 for each participant in the study.

3. Assuming the conditions for the hypothesis test are met, find the test statistic and the p-value.
test statistic =

p-value =
4. Based on the p value we have

evidence that the null model is not a good fit for our observed data.
5. Construct a 99% confidence interval for the average change in reaction time.