2. A wooden catapult can be used to ip a foam ball. The catapult has three factors that can be adjusted: the start angle, the stop angle, and the pivot height. The distance the ball travels can be measured with a tape measure.

(a) If experiments were to be conducted with the catapult by ipping the ball and measuring the distance, what would the experimental unit be?

(b) Using the numbers 1, 2 and 3 to represent the levels of start angle and stop angle, and holding the pivot height constant at its high level, make a randomized list of experiments for a 33 factorial experiment with r = 2 replicates per cell.

(c) If the variance of the experimental error in the measured distance was 2 = 12 inches, calculate the number of replicates you would need to have a power of 0.90 for detecting a dierence in 10 inches in cell means.

(d) Calculate the number of replicates you would need to have a power of 0.90 for detecting a dierence of 24 inches in marginal means for either factor.

(e) If a catapult is available, conduct the list of experiments you wrote in part (b).

(f) Calculate the ANOVA with your resulting data and test the main eects and interaction.
(g) Explain or interpret any signicant eects (use graphs if necessary to aid in your explanation).

Transcribed Image Text:

Pivot Height Stop Angle Start Angle