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State the null and alternative hypotheses. Ho: M = 0 versus H: >0 OH: = 0 versus H₂: < 0 Ho: H0 versus H₂: Hd > 0 Ho: H0 versus H₂: μ = 0 0 Ho: H = 0 versus H: State the test statistic. (Round your answer to three decimal places.) t = Use the critical value approach to state the rejection region. (If the test is one-tailed, enter NONE for the unused region. Round your answers to three d places.) t> t< State the conclusion. OH is not rejected. There is sufficient evidence to indicate that the mean reaction time is greater after consuming alcohol. ning alcohol

State the null and alternative hypotheses. Ho: M = 0 versus H: >0 OH: = 0 versus H₂: < 0 Ho: H0 versus H₂: Hd > 0 Ho: H0 versus H₂: μ = 0 0 Ho: H = 0 versus H: State the test statistic. (Round your answer to three decimal places.) t = Use the critical value approach to state the rejection region. (If the test is one-tailed, enter NONE for the unused region. Round your answers to three d places.) t> t< State the conclusion. OH is not rejected. There is sufficient evidence to indicate that the mean reaction time is greater after consuming alcohol. ning alcohol

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 2AGP
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**Study on the Effect of Alcohol on Reaction Time** 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. The question is: Do the following data indicate that the mean reaction time after consuming alcohol is greater than the mean reaction time before consuming alcohol? Use \( \alpha = 0.05 \). (Use \( \mu_{\text{before}} - \mu_{\text{after}} = \mu_d \).) | Person | 1 | 2 | 3 | 4 | 5 | 6 | 7 | |---------|---|---|---|---|---|---|---| | Before | 5 | 8 | 6 | 7 | 5 | 5 | 3 | | After | 6 | 9 | 2 | 6 | 3 | 4 | 4 | **State the Null and Alternative Hypotheses:** - \( H_0: \mu_d = 0 \) versus \( H_a: \mu_d > 0 \) - \( H_0: \mu_d = 0 \) versus \( H_a: \mu_d < 0 \) - \( H_0: \mu_d < 0 \) versus \( H_a: \mu_d > 0 \) - \( H_0: \mu_d \neq 0 \) versus \( H_a: \mu_d = 0 \) - \( H_0: \mu_d = 0 \) versus \( H_a: \mu_d \neq 0 \) **Test Statistic:** State the test statistic. (Round your answer to three decimal places.) \( t = \_\_\_ \) **Critical Value Approach:** Use the critical value approach to state the rejection region. (If the test is one-tailed, enter NONE for the unused region. Round your answers to three decimal places.) \( t > \_\_\_ \) \( t < \_\_\_ \) **Conclusion:** - \( H_0 \) 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 insufficient evidence to indicate that the mean reaction time is greater after consuming alcohol
Transcribed Image Text:**Study on the Effect of Alcohol on Reaction Time** 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. The question is: Do the following data indicate that the mean reaction time after consuming alcohol is greater than the mean reaction time before consuming alcohol? Use \( \alpha = 0.05 \). (Use \( \mu_{\text{before}} - \mu_{\text{after}} = \mu_d \).) | Person | 1 | 2 | 3 | 4 | 5 | 6 | 7 | |---------|---|---|---|---|---|---|---| | Before | 5 | 8 | 6 | 7 | 5 | 5 | 3 | | After | 6 | 9 | 2 | 6 | 3 | 4 | 4 | **State the Null and Alternative Hypotheses:** - \( H_0: \mu_d = 0 \) versus \( H_a: \mu_d > 0 \) - \( H_0: \mu_d = 0 \) versus \( H_a: \mu_d < 0 \) - \( H_0: \mu_d < 0 \) versus \( H_a: \mu_d > 0 \) - \( H_0: \mu_d \neq 0 \) versus \( H_a: \mu_d = 0 \) - \( H_0: \mu_d = 0 \) versus \( H_a: \mu_d \neq 0 \) **Test Statistic:** State the test statistic. (Round your answer to three decimal places.) \( t = \_\_\_ \) **Critical Value Approach:** Use the critical value approach to state the rejection region. (If the test is one-tailed, enter NONE for the unused region. Round your answers to three decimal places.) \( t > \_\_\_ \) \( t < \_\_\_ \) **Conclusion:** - \( H_0 \) 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 insufficient evidence to indicate that the mean reaction time is greater after consuming alcohol
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BeforeAfterd equals mu subscript d equals mu subscript b e f o r e end subscript minus mu subscript a f t e r end subscript
565-6=-1
494-9=-5
626-2=4
565-6=-1
232-3=-1
545-4=1
343-4=-1



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