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?
$\text{H}_0: \delta = 0; \text{H}_1: \delta \neq 0$
$\text{H}_0: \delta > 0; \text{H}_1: \delta = 0$
$\text{H}_0: \bar{x} = 0; \text{H}_1: \bar{x} \neq 0$
$\text{H}_0: \bar{x} = 0; \text{H}_1: \bar{x} > 0$
$\text{H}_0: \delta > 0; \text{H}_1: \delta = 0$
