Physical Sciences The fountain beneath the Gateway Arch in St. Louis is designed to spray water 630 feet straight up, the same height as the Arch. A random sample of days was selected, and on each day the height of the spray was measured (in feet) during the fountain show. The data are given in the following table.
The underlying distribution is assumed to be continuous.
a. Use the Wilcoxon signed-rank test with a = 0.01 to determine whether there is any evidence that the median spray height is less than 630 feet.
b. Find the p value associated with this test.
c. Why can't this procedure be used in a test concerning the mean spray height?