Use the data given in exercise 11.35. Follow the instructions given in exercise 11.43.

Exercise 11.35.

A random sample of people were asked whether they were athletic, moderately athletic (Mod), or not athletic (NotAth). Then they were tested for reaction speed. Reaction speed was measured indirectly, through reaction distance, as follows: A vertical meter stick was dropped, and they caught it. The distance (in centimeters) that the stick fell is the reaction distance, and shorter distances correspond to faster reaction times. The data are shown in the following table.

Exercise 11.43.

A random sample of students was studied. Whether the student chose to sit in the front, middle, or back row in a college class was recorded, along with the person’s grade point average (GPA). Test the hypothesis that GPA is associated with choice of row using a significance level of 0.05. Assume Normality. Assume the conditions for ANOVA are met. Show the F- and p-values and the conclusion for the ANOVA using an overall significance level of 0.05. Do post hoc tests using confidence intervals (98.33% intervals for three groups) if post hoc tests are appropriate. Assume equal variances. Use the underlining method, listing the category with the lowest mean on the left and the category with the highest mean on the right, with any pairs (or groups of three) that are not significantly different underlined. Finally, write your conclusions in complete sentences.

NotAth Mod Athletic 16.0 11.7 24.7 25.3 22.3 15.7 19.3 12.7 17.7 19.0 21.3 12.7 14.3 16.0 21.0 34.3 14.0 21.0 17.7 16.3 19.3 28.3 25.0 30.7 27.0 15.0 10.3 26.7 26.7