Consumption of large amounts of alcohol is known to increase reaction time. To investigate the effects of small amounts of alcohol, reaction time was recorded for five individuals before and after the consumption of 2 ounces of alcohol. Do the data below suggest that consumption of 2 ounces of alcohol increases mean reaction time?
| Subject |
Reaction Time (seconds) |
| After |
Befor |
| 1 |
7 |
6 |
| 2 |
8 |
8 |
| 3 |
6 |
4 |
| 4 |
8 |
7 |
| 5 |
8 |
9 |
Assume we want to use a 0.01 significance level to test the claim. (a) Identify the null hypothesis and the alternative hypothesis.
Determine the test statistic. Show all work; writing the correct test statistic, without supporting work, will receive no credit.
Determine the P-value. Show all work; writing the correct P-value, without supporting work, will receive no credit.
Is there sufficient evidence to support the claim that consumption of 2 ounces of alcohol increases mean reaction time? Justify your conclusion.