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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 42PFA
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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 Mbefore after = Md.)
Person 1
2
Before 3 4
After
8
7
USE SALT
3
6
2
4
5
6
5
4
5
6
7
7
1
6
State the null and alternative hypotheses.
O Ho: Md 0 versus H₂: M = 0
O Ho: μ = 0 versus H₂: #0
O Ho: μ = 0 versus H₂: μ< 0
O Ho: μ< 0 versus H₂: >0
O Ho: μ = 0 versus H₂: μ> 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.)
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.
O Ho is rejected. There is sufficient evidence to indicate that the mean reaction time is greater after consuming alcohol.
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 a = 0.05. (Use Mbefore after = Md.) Person 1 2 Before 3 4 After 8 7 USE SALT 3 6 2 4 5 6 5 4 5 6 7 7 1 6 State the null and alternative hypotheses. O Ho: Md 0 versus H₂: M = 0 O Ho: μ = 0 versus H₂: #0 O Ho: μ = 0 versus H₂: μ< 0 O Ho: μ< 0 versus H₂: >0 O Ho: μ = 0 versus H₂: μ> 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.) 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. O Ho is rejected. There is sufficient evidence to indicate that the mean reaction time is greater after consuming alcohol.
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