TV and athletics Using a simple random sample, a student asked 200 students questions about their study and workout habits, and received 124 responses. One of the questions asked, “Do you participate in intramural (IM)

athletics, varsity athletics, or no athletics?” while the second asked, “How many hours of television did you watch last week?” The student wants to see if participation in athletics is associated with amount of TV watched. Here are the boxplots of TV Watching by Athletic Participation:

a) State the 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 television watching and athletic participation.

d) An analysis of the data with all the points highlighted as outliers removed was performed. The F-test showed a P-value of 0.0049. How does this affect your answer to part b?

TV Watching (hr) 20 15 10 5 0 00 IM * None Athletic Participation Varsity Analysis of Variance DF Sum of squares Mean square F-ratio P-value Source Athl. Part. 2 128.271 Error 121 1832.72 Total 123 1960.99 64.1353 4.2343 0.0167 15.1465