1.       A professor measured the time (in seconds) required to catch a falling meter stick for 19 randomly selected students’…

1.       A professor measured the time (in seconds) required to catch a falling meter stick for 19 randomly selected students’ dominant and non-dominant hand.  The professor claims that the reaction time in an individual’s dominant hand is less than the reaction time in their non-dominant hand.  At the 0.10 significance level, test the claim that the reaction time in an individual’s dominant hand is less than the reaction time in their non-dominant hand. (The results can be found in the first two columns of the Minitab file).

a.       What is (are) the parameter(s) we are conducting inference on? (You may state your answer in words or symbols).

b.      Depending on your answer to part (a), construct one or two histograms and one or two boxplots to visualize the distribution(s) of your sample data.  If you construct two histograms and two boxplots, please construct two separate Minitab histograms and one Minitab boxplot displaying both boxes on the same graph.  Also, properly title and label your graphs and use cut points and 5 classes for your histogram(s). Copy and paste these graphs into your assignment.  Below the graphs, answer the following questions.

                                                i.         Are there any major deviations from normality?

                                              ii.         Are there any outliers present? 

                                             iii.         Is it appropriate to conduct statistical inference procedures, why or why not?

If the answer to part iii is no, do not complete the rest of #1.

c.       At the 0.10 significance level, test the claim that the reaction time in an individual’s dominant hand is less than the reaction time in their non-dominant hand. 

                                                i.         State the null and alternative hypotheses.

                                              ii.         State the significance level for this problem.

                                             iii.         Calculate the test statistic.  

                                            iv.         Calculate the P-value and include the probability notation statement.

                                              v.         State whether you reject or do not reject the null hypothesis.

                                            vi.         State your conclusion in context of the problem (i.e. interpret your results).

d.      For the above situation, construct a 96.2% confidence interval for the above data.  Interpret the confidence interval as we learned in class.

Note: For part d, to earn full credit, show how you obtained the critical value for the confidence interval in Minitab, write out the formula you would use, and the steps necessary to construct the confidence interval.