Consumption of a large amount of alcohol is known to increase reaction time. To

Question

Consumption of a large amount of alcohol is known to increase reaction time. To investigate the small amount of alcohol, reaction was recorded for 5 individuals before and after 2 ounces of alcohol was consumed by each. Does the data below suggest that the consumption of 2 ounces of alcohol increases mean reaction time?

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 al! work. writing the correct critical value, without supporting work will receive no credit. (d) Is there sufficient evidence to support the claim that the consumption of 2 ounces of alcohol increases mean reaction time? Justify your conclusion.

Subject Before After 1 6 7 2 8 8 3 4 6 4 7 9 5 9 8

Explanation / Answer

H0: mu1 = mu2

Ha: mu1 < mu2

Left tailed test

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test statistic = -0.8/0.521536

=-1.5334

df = 4

p value = .100024.

The result is not significant at p < .05.

There is no evidence to show that alcohol increases reaction time.

Subject Before After d d^2 1 6 7 -1 1 2 8 8 0 0 3 4 6 -2 4 4 7 9 -2 4 5 9 8 1 1 -4 10 Mean -0.8 Variance 1.36 Std dev 1.16619 std error 0.521536

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