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 both before and after consuming 3 ounces of 40% alcohol. Do the following data indicate that the mean reaction time after consuming alcohol was greater than the mean reaction time before consuming alcohol? Use a = 0.05. (Use Hpefore - Hafter = Hg) Person 1 2 3 4 5 Before 5 6 3 2 7 3 After 8 6 n USE SALT State the null and alternative hypotheses. O Họi Hg <0 versus H,: g>0 O Ha: Ha =0 versus H: H> 0 O Hoi Ha*0 versus H: H = 0 O Họi Hg = 0 versus H,: Ha <0 O Ho: Hg = 0 versus H,: H0 State the test statistic. (Round your answer to three decimal places.) t = State the rejection region. (If the test is one-tailed, enter NONE for the unused region. Round your answers to three decimal places.) t> State the conclusion. O Ho is not rejected. There is insufficient evidence indicate that the mean reaction time is greater after consuming alcohol. O Ho is not rejected. There is sufficient evidence to indicate that the mean reaction time is greater after consuming alcohol. O H, is rejected. There is sufficient evidence to indicate that the mean reaction time is greater after consuming alcohol. O H, is rejected. There is insufficient evidence to indicate that the mean reaction time is greater after consuming alcohol.

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To test the effect of alcohol on increasing the reaction time to respond to a given stimulus, the reaction times of seven people were measured both before and after consuming 3 ounces of 40% alcohol. 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_d)

Table of Reaction Times:

| Person | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
|--------|---|---|---|---|---|---|---|
| Before | 5 | 4 | 6 | 3 | 2 | 7 | 3 |
| After  | 8 | 9 | 9 | 6 | 5 | 6 | 6 |

### Instructions:

**State the null and alternative hypotheses:**

- \( H_0 \): μ_d = 0 versus \( H_1 \): μ_d > 0
- \( H_0 \): μ_d = 0 versus \( H_1 \): μ_d ≠ 0
- \( H_0 \): μ_d = 0 versus \( H_1 \): μ_d = 0 
- \( H_0 \): μ_d = 0 versus \( H_1 \): μ_d < 0

**State the test statistic. (Round your answer to three decimal places.)**

t = _______

**State the rejection region. (If the test is one-tailed, enter NONE for the unused region. Round your answers to three decimal places.)**

t > _______

t < _______

**State the conclusion:**

- \( H_0 \) is not rejected. There is insufficient evidence to indicate that the mean reaction time is greater after consuming alcohol.
- \( H_0 \) is not rejected. There is sufficient evidence to indicate that the mean reaction time is greater after consuming alcohol.
- \( H_0 \) is rejected. There is sufficient evidence to indicate that the mean reaction time is greater after consuming alcohol.
- \( H_0 \) is rejected. There is insufficient evidence to indicate that the mean reaction time is greater after consuming alcohol.
Transcribed Image Text:To test the effect of alcohol on increasing the reaction time to respond to a given stimulus, the reaction times of seven people were measured both before and after consuming 3 ounces of 40% alcohol. 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_d) Table of Reaction Times: | Person | 1 | 2 | 3 | 4 | 5 | 6 | 7 | |--------|---|---|---|---|---|---|---| | Before | 5 | 4 | 6 | 3 | 2 | 7 | 3 | | After | 8 | 9 | 9 | 6 | 5 | 6 | 6 | ### Instructions: **State the null and alternative hypotheses:** - \( H_0 \): μ_d = 0 versus \( H_1 \): μ_d > 0 - \( H_0 \): μ_d = 0 versus \( H_1 \): μ_d ≠ 0 - \( H_0 \): μ_d = 0 versus \( H_1 \): μ_d = 0 - \( H_0 \): μ_d = 0 versus \( H_1 \): μ_d < 0 **State the test statistic. (Round your answer to three decimal places.)** t = _______ **State the rejection region. (If the test is one-tailed, enter NONE for the unused region. Round your answers to three decimal places.)** t > _______ t < _______ **State the conclusion:** - \( H_0 \) is not rejected. There is insufficient evidence to indicate that the mean reaction time is greater after consuming alcohol. - \( H_0 \) is not rejected. There is sufficient evidence to indicate that the mean reaction time is greater after consuming alcohol. - \( H_0 \) is rejected. There is sufficient evidence to indicate that the mean reaction time is greater after consuming alcohol. - \( H_0 \) is rejected. There is insufficient evidence to indicate that the mean reaction time is greater after consuming alcohol.
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