Four different catapult designs are being tested for their ability to launch water balloons. The experimenter decides to block by person firing. The distances (in feet) achieved for each catapult are given.

(a) What is the response variable in this study?
(b) Explain why it makes sense to block by person firing the catapult.
(c) Test H0: µ1 = µ2 = µ3 = µ4 against H1: at least one of the means is different, where µ1 is the mean for the Mark IV V2, µ2 is the mean for the Balloon Ballista, and so on, at the a = 0.05 level of significance.
(d) If the null hypothesis from part (c) was rejected, use Tukey's test to determine which pairwise means differ using a familywise error rate of a = 0.05.
(e) Draw boxplots of the data for each catapult design using the same scale to support the analytical results obtained in parts (c) and (d).

Transcribed Image Text:

Balloon Hydrolaunch Waterworks п Mark IV V2 Ballista Peter 92 94 100 97 94 98 93 Shawn 99 92 95 98 98 Mark 94 101 103 Jake 97 96