Question: Weight and athletics Using the same survey as in Exercise 27, the student examined the relationship between Athletic Participation and Weight. Here are the boxplots

Weight and athletics Using the same survey as in Exercise 27, the student examined the relationship between Athletic Participation and Weight. Here are the boxplots of Weight by Athletic Participation:

Weight (lb) 240 200 1660 120 IM None Athletic Participation Varsity Analysis

a) State the null hypothesis about the students (both numerically and in words).

b) Do the conditions for ANOVA appear to be satisfied?
What concerns, if any, do you have?

c) Assuming that the assumptions for inference are satisfied, perform the hypothesis test and state your conclusion. Be sure to state it in terms of Weight and Athletic Participation.
What might explain the apparent relationship?

d) An analysis of the data with the points highlighted as an outlier removed was performed. The F-test showed a P-value of 0.0030. How does this affect your answer to part b?

Weight (lb) 240 200 1660 120 IM None Athletic Participation Varsity Analysis of Variance DF Sum of squares Mean square F-ratio P-value Source Athl. Part. 2 9025.55 Error 121 95183.2 Total 123 104209 4512.78 5.7368 0.0042 786.638

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