Consumption of large amounts of alcohol is known to increase

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?

Determine the P-value?

Solution

Before:

Data:{6,8,4,7,9}
n1=5
Mean1 = 6.8
SD1 = 1.9235

After:

Data :{7,8,6,9,8}
n2=5
Mean2 = 7.6
SD2 = 1.1402

Null Hypothesis: M(Before) < Mu(After)
Alternate Hypothesis: M(Before) >= Mu(After)

Standard Error = sqrt((1.9235^2/5) + (1.1402^2/5)) = 0.999

t = ( 6.8 - 7.6 ) / 0.999 = -0.8

dF = 5+5-2 = 8

Therefore.

P-value = 0.2234 Answer

Since , P-value > 0.05
Failed to reject Null Hypothesis.