STATISTICS PROBLEMS

A researcher wanted to study the effects of a recently approved anxiolytic drug on the ability to drive safely an automobile. The researcher measured the reaction time to an impending automobile accident in a dynamic driving simulator. The completely randomized placebo control design consisted of two conditions, an experimental anxiolytic drug condition and a placebo control. A total of 30 patients were randomly assigned to one of the two treatment conditions, \(n=15\) per condition. Note that each patient was randomly assigned to one and only one of the two conditions. Thus, the independent sample / groups t-test is appropriate for the analysis of these data. The SPSS sav file Anxiolytic & RT lists the treatment condition and reaction time for the patients.

1. State the statistical hypotheses
2. Compute the df
3. If \(\alpha=.05\) and .01, give the critical values, explain the difference.
4. Conduct a Two-Sample t-test on these data both using SPSS and by "hand" (show all of your work). Report one of these two methods 1 . use a www applet, or 2 . use a Stat 3010 Tool Chest option.
5. Use SPSS's normal probability plot option to examine the normality assumption. Do these data meet the normality assumption? Do the data meet the independence assumption, and explain why?
6. State your statistical decisions using both the p-value and critical value approaches. Interpret the results and explain the differences between the outcomes of the analysis when \(\alpha=.05\) and .01.
7. Use SPSS's error bar plot option to plot the \(95 \%\) and \(99 \%\) CI for the mean. Interpret the plots as they relate to the researcher's substantive question. Make sure to explain the differences between the two CI as they relate to the statistical hypotheses.
8. Calculate the raw effect and Cohen's d. Interpret both statistics as they relate to the researcher's substantive question.
9. What do these statistical decisions mean as they relate to the researcher's substantive question?

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Solution: The downloadable solution consists of 7 pages, 780 words and 5 charts.
Deliverable: Word Document