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. Complete parts a and b below. Click the icon to view the boxplots. Click the icon to view the reaction distances. a. Interpret the boxplots given. Compare the medians, interquartile ranges, and shapes, and mention any potential outliers. Choose the correct answer below. OA. The athletic boxplot has a much higher median and a much smaller IQR than the other two boxplots. The not athletic boxplot is strongly skewed to the right. There is an outlier in the not athletic boxplot. OB. The medians and interquartile ranges are all similar. The not athletic boxplot is strongly skewed to the right. There are no potential outliers. OC. The athletic boxplot has a much higher median and a much smaller IQR than the other two boxplots. The moderately athletic boxplot is strongly skewed to the right. There are no potential outliers. OD. The medians and interquartile ranges are all similar. The moderately athletic boxplot is strongly skewed to the right. There is an outlier in the not athletic boxplot b. Test the hypothesis that people with different levels of athletic ability (self-described) have different mean reaction distances, reporting the F-statistic, p-value and conclusion. Assume that the distribution of each population is close enough to Normal to satisfy the Normal condition of an ANOVA and that the sample is randomly selected. Let Hath represent the mean athletic reaction distance, let mod represent the mean moderately athletic reaction distance, and let not represent the mean not athletic reaction distance. Determine the null and alternative hypotheses. Choose the correct answer below. OA. Ho Hath #mod #not Ha Hath HmodHnot OB. Ho Hath mod Pnot Ha Hath Hmod "not OC. Ho Hath Hmod not H: At least one of the means is different from another. OD. Ho: At least one of the means is different from another. Ha Hath Hmod not A random sample of people were asked whether they were athle measured indirectly, through reaction distance, as follows: A ver distances correspond to faster reaction times. Complete parts a Click the icon to view the reaction distances. Click the Reaction Distances X or reaction speed. Reaction speed was hat the stick fell is the reaction distance, and shorter NotAth Mod Athletic 15.7 11.9 24.7 Ha Hath Hmod Hnot OB. Ho Hath Hmod Hnot Ha Hath #mod #not 24.9 22.7 16.1 Reaction Distance Boxplots 19.8 12.4 17.3 18.6 21.5 13.2 14.5 16.5 21.2 OC. Ho Hath Hmod Hnot 34.6 13.5 20.8 H: At least one of the means is different from another. 17.8 15.8 19.1 Not Athletic 28.7 24.9 OD. Ho: At least one of the means is different from another. Ha Hath Hmod Hnot 30.3 26.9 Moderate- 14.5 10.4 27.1 Athletic- What is the F-statistic? 26.8 F= (Round to two decimal places as needed.) What is the p-value? p-value (Round to three decimal places as needed.) What is the correct conclusion? Print Done OA. Do not reject the null hypothesis. There is not enough evidence that the population means are different. OB. Reject the null hypothesis. There is sufficient evidence that the population means are different. OC. Do not reject the null hypothesis. There is sufficient evidence that the population means are different. D. Reject the null hypothesis. There is not enough evidence that the population means are different. 10 15 25 20 Reaction Distance (cm) Print Done 30 35