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(solution) Consumption of large amounts of alcohol is known to increase


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Consumption of large amounts of

 

alcohol is known to increase reaction

 

time. Toinvestigate the effects of small

 

amounts of alcohol, reaction time was

 

recorded for fiveindividuals before and

 

after the consumption of 2 ounces of

 

alcohol. Do the data belowsuggest that

 

consumption of 2 ounces of alcohol

 

increases mean reaction time?

 

Reaction Time (seconds)

 

Subject Before After 1 6 7 2 8 8 3 4 6 4 7 9 5 9 8 Assume we want to use a 0.05 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.

 


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