Benjamin Franklin (1706-1790) conducted an experiment to study the effect of water depth on the amount of drag on a boat being pulled up a canal. He made a 14-foot trough and a model boat 6 inches long. A thread was attached to the bow, put through a pulley, and then a weight was attached. Not having a second hand on his watch, he counted as fast as he could to 10 repeatedly. These times, for the model boat to traverse the trough at the different water depths, are

(a) Perform an analysis of variance and test for differences due to water depth using \(\alpha=0.05\).

(b) Using \(\alpha=0.06\) and \(q_{0.06}=3.438\) for the Tukey HSD method, investigate differences.

(c) Use the Bonferroni 94% confidence interval approach on page 411 to compare the mean times.

Data From page 411

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Water 1.5 inches: 100 104 104 106 100 99 100 100 Water 2.0 inches: 94 93 91 87 88 86 90 88 Water 4.5 inches: 79 78 77 79 79 80 79 81