Homework Sourse22 Consumption of large amounts of alcohol is known to incre
22. 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?
Assume we want to use a 0.01 significance level to test the claim.
(a) Identify the null hypothesis and the alternative hypothesis.
(b) Determine the test statistic. Show all work; writing the correct test statistic, without
supporting work, will receive no credit.
(c) Determine the P-value. Show all work; writing the correct P-value, without
supporting work, will receive no credit.
(d) Is there sufficient evidence to support the claim that consumption of 2 ounces of alcohol increases mean reaction time? Justify your conclusion.
| Reaction Time(InSeconds) | ||
| Subject | Before | After |
| 1 | 6 | 7 |
| 2 | 8 | 8 |
| 3 | 4 | 6 |
| 4 | 7 | 8 |
| 5 | 9 | 8 |
Solution
Thus the difference d is normal with mean -1.2 and std dev = 1.732
H0: d=2
Ha: d>2
Right tailed test
Test statistic = sample diff- 2/std dev = (-1.2-2)/1.732 = -1.85
df = 4
The P-Value is 0.068995. The result is not significant at p < 0.05.
d) p >0.05
accept null hypothesis.
There is no increase of reactin time as per statistical evidence.
| Reaction Time(InSeconds) | d=difference | ||
| Subject | Before | After | |
| 1 | 6 | 7 | -1 |
| 2 | 8 | 8 | 0 |
| 3 | 4 | 6 | -4 |
| 4 | 7 | 8 | -1 |
| 5 | 9 | 8 | -6 |
| Mean | -1.2 | ||
| Std dev | 1.732051 |
