AAn Aerobics Teacher Believed That Physical Conditioning Is an Important

a.An aerobics teacher believed that physical conditioning is an important factor in the ability to perform skills, even if the skill does not require strength or endurance. To test this hypothesis, she selected 10 high BMI (body mass index) women enrolled in her aerobics course. Before the first class, she tested them on a button-sorting task. After a full semester of regular exercise, she tested the women on the same button-sorting task. Scores represent the number of seconds required to sort the buttons. Analyze the data with a nonparametric test and comment on the aerobics teacher's hypothesis. $$\begin{array} { c c c } \text { Subject } & \text { Pretest Score } & \text { Posttest Score } \\\hline 1 & 29 & 31 \\2 & 33 & 28 \\3 & 36 & 39 \\4 & 37 & 37 \\5 & 40 & 44 \\6 & 42 & 41 \\7 & 45 & 51 \\8 & 47 & 50 \\9 & 50 & 56 \\10 & 56 & 49\end{array}$$ b. What is the correlation between the pretest and posttest rankings of the women on the button-sorting test? Find the correlation and explain what it means.