Manufacturing and Product Development A nail gun is a handy tool, especially if you need to install a wood floor, replace a roof, attach a Venetian blind to a metal support, or if you hit your thumb a lot with a hammer. These devices propel a nail at incredible speeds and can save time and energy. A random sample of nail guns from four companies was obtained, and the speed of the nail was measured for each gun (in feet per second, fps). Assume the underlying speed distributions are continuous.
a. Use the Kruskal-Wallis test with a = 0.05 to determine whether there is any evidence that at least two of the nail-gun speed population distributions are different.
b. Find bounds on the p value associated with this test.
c. Suppose you would like to purchase the brand of nail gun that fires a nail at the highest speed. Which brand would you choose, and why?