Question

To test the effect of alcohol in increasing the reaction time to respond to a given stimulus, the reaction times of seven people were measured. After consuming 89 mL of 40% alcohol, the reaction time for each of the seven people was measured again. Do the following data indicate that the mean reaction time after consuming alcohol was greater than the mean reaction time before consuming alcohol? Use α = 0.05. (Use 

μ_before − μ_after = μ_d.

 Round your answers to three decimal places.)

Person  1    2    3    4    5    6    7  Before3465261After7726365

1-2. Null and alternative hypotheses:

H₀: μ_d = 0 versus μ_d ≠ 0H₀: μ_d = 0 versus μ_d < 0    H₀: μ_d < 0 versus μ_d > 0H₀: μ_d ≠ 0 versus μ_d = 0H₀: μ_d = 0 versus μ_d > 0

3. Test statistic:  t =  

4. Rejection region:  If the test is one-tailed, enter NONE for the unused region.t>t<
5. Conclusion:

H₀ is rejected. There is sufficient evidence to indicate that the mean reaction time is greater after consuming alcohol.H₀ is rejected. There is insufficient evidence to indicate that the mean reaction time is greater after consuming alcohol.    H₀ is not rejected. There is insufficient evidence to indicate that the mean reaction time is greater after consuming alcohol.H₀ is not rejected. There is sufficient evidence to indicate that the mean reaction time is greater after consuming alcohol

Answer 1

1-2)

Null Hypothesis

Alternative Hypothesis

3) The Calculation table is given below

Person	Before	After	d=B-A	d^2
1	3	7	-4	16
2	4	7	-3	9
3	6	2	4	16
4	5	6	-1	1
5	2	3	-1	1
6	6	6	0	0
7	1	5	-4	16
		Total	-9	59

Under H0, the test statistic is

Degrees of freedom = n-1= 6

4) Rejection Region

Reject H0: if t <-1.943

5) Since t calculated is greater than t tabulated for left tailed test, Fail to Reject H0.

Conclusion : H0 is not rejected. There is insufficient evidence to indicate that the mean reaction time is greater after consuming alcohol.