Question

A researcher wishes to learn if a certain drug affects the reaction time of dispatchers to emergency calls.She obtained independent simple random samples of dispatchers from a population assumed to be normally distributed,and randomly divided them into two groups.She then had one group take the drug and used the second group as a control. Dispatchers were seated at workstations and directed to respond to pseudo-emergency calls.The researcher collected each dispatcher’s reaction time over 100 trials and calculated the mean for each dispatcher. The mean reaction times –in seconds –for each group of dispatchers are included below:

Group A Treated With Drug	Group B Controlled -Not treated
0.72	0.71
0.68	0.83
0.69	0.89
0.66	0.57
0.57	0.68
0.66	0.74
0.70	0.75
0.63	0.67
0.71	0.80
0.75	0.78

The researcher is interested in learning if the drug reduces the reaction time by dispatchers to emergency calls.

What are the null and alternative hypotheses?

Are the requirements satisfied for our hypothesis test? Why or why not?Use a .05 level of significance and comprehensively test the researcher’s hypothesis. Report your conclusions supported by the test statistic, critical value(s) or p-value, and confidence interval estimate. Remember to restate your conclusion in simple, nontechnical terms that addresses the original claim or hypothesis.

Answer 1

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