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 before Hafter =) Person 2 1 Before 3 4 After 8 7 USE SALT 3 6 2 4 5 6 5 4 5 6 7 7 1 6 6 State the null and alternative hypotheses. O Ho: H0 versus H₂ = 0 O Ho: H = 0 versus H₂:0 Ho: H = 0 versus H₂: <0 O Hoi Hd <0 versus H₂: Hd > 0 Ho: H = 0 versus H₂: >0 State the test statistic. (Round your answer to three decimal places.) 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. O Ho is not rejected. There is sufficient evidence to indicate that the mean reaction time is greater after consuming alcohol. O Ho is not rejected. There is insufficient evidence to indicate that the mean reaction time is greater after consuming alcohol. O Ho is rejected. There is insufficient evidence to indicate that the mean reaction time is greater after consuming alcohol. OH is rejected. There is sufficient evidence to indicate that the mean reaction time is greater after consuming alcohol.
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 before Hafter =) Person 2 1 Before 3 4 After 8 7 USE SALT 3 6 2 4 5 6 5 4 5 6 7 7 1 6 6 State the null and alternative hypotheses. O Ho: H0 versus H₂ = 0 O Ho: H = 0 versus H₂:0 Ho: H = 0 versus H₂: <0 O Hoi Hd <0 versus H₂: Hd > 0 Ho: H = 0 versus H₂: >0 State the test statistic. (Round your answer to three decimal places.) 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. O Ho is not rejected. There is sufficient evidence to indicate that the mean reaction time is greater after consuming alcohol. O Ho is not rejected. There is insufficient evidence to indicate that the mean reaction time is greater after consuming alcohol. O Ho is rejected. There is insufficient evidence to indicate that the mean reaction time is greater after consuming alcohol. OH is rejected. There is sufficient evidence to indicate that the mean reaction time is greater after consuming alcohol.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text: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 α = 0.05. (Use μ_before = μd = μ_after).
**Data Table:**
| Person | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
|--------|---|---|---|---|---|---|---|
| Before | 3 | 4 | 6 | 5 | 5 | 4 | 1 |
| After | 8 | 7 | 2 | 6 | 5 | 9 | 4 |
**Hypotheses Options:**
1. H₀: μd ≠ 0 versus H₃: μd = 0
2. H₀: μd = 0 versus H₄: μd ≠ 0
3. H₀: μd = 0 versus H₅: μd < 0
4. H₀: μd < 0 versus H₅: μd > 0
5. H₀: μd = 0 versus H₆: μd > 0
**Tasks:**
- State the test statistic (t value).
- State the rejection region. For unused region, write NONE. Answers should be to three decimal places.
- Conclude based on the hypothesis:
- H₀ is not rejected: There is sufficient evidence that the mean reaction time is greater after consuming alcohol.
- H₀ is not rejected: There is insufficient evidence that the mean reaction time is greater after consuming alcohol.
- H₀ is rejected: There is insufficient evidence that the mean reaction time is greater after consuming alcohol.
- H₀ is rejected: There is sufficient evidence that the mean reaction time is greater after consuming alcohol.
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