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Question 15 Students are willingly enrolled in a study to test the effect of drinking alcohol on reaction times. The study investigators have no a priori belief that reaction time is increased or decreased half an hour after drinking alcohol. Each student's reaction time is measured, then each student consumes a drink containing 15ml of alcohol, and reaction time is measured again half an hour later. Letting $\delta$ be the true mean difference in reaction time, and $\bar{x}$ be the sample mean difference in reaction time, what are the null and alternative hypotheses to investigate if there is evidence that reaction times are changed after drinking alcohol? $\text{H}_0: \delta = 0; \text{H}_1: \delta \neq 0$ $\text{H}_0: \delta > 0; \text{H}_1: \delta = 0$ $\text{H}_0: \bar{x} = 0; \text{H}_1: \bar{x} \neq 0$ $\text{H}_0: \bar{x} = 0; \text{H}_1: \bar{x} > 0$ $\text{H}_0: \delta > 0; \text{H}_1: \delta = 0$

          Question 15
Students are willingly enrolled in a study to test the effect of drinking alcohol on reaction times. The study investigators have no a priori belief that reaction time is increased or decreased half an hour after drinking alcohol. Each student's reaction time is measured, then each student consumes a drink containing 15ml of alcohol, and reaction time is measured again half an hour later. Letting \(\delta\) be the true mean difference in reaction time, and \(\bar{x}\) be the sample mean difference in reaction time, what are the null and alternative hypotheses to investigate if there is evidence that reaction times are changed after drinking alcohol?
$\text{H}_0: \delta = 0; \text{H}_1: \delta \neq 0$
$\text{H}_0: \delta > 0; \text{H}_1: \delta = 0$
$\text{H}_0: \bar{x} = 0; \text{H}_1: \bar{x} \neq 0$
$\text{H}_0: \bar{x} = 0; \text{H}_1: \bar{x} > 0$
$\text{H}_0: \delta > 0; \text{H}_1: \delta = 0$

Question 15
Students are willingly enrolled in a study to test the effect of drinking alcohol on reaction times. The study investigators have no a priori belief that reaction time is increased or decreased half an hour after drinking alcohol. Each student's reaction time is measured, then each student consumes a drink containing 15ml of alcohol, and reaction time is measured again half an hour later. Letting δ be the true mean difference in reaction time, and x̅ be the sample mean difference in reaction time, what are the null and alternative hypotheses to investigate if there is evidence that reaction times are changed after drinking alcohol?
H0: δ = 0; H1: δ≠ 0
H0: δ > 0; H1: δ = 0
H0: x̅ = 0; H1: x̅≠ 0
H0: x̅ = 0; H1: x̅ > 0
H0: δ > 0; H1: δ = 0

Added by Jose G.

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