Statistics
Let us compare the failure times of certain type of light bulb
produced by two different manufacturers, X and Y, by testing 10
bulbs selected at random from each of the outputs. The data, in
hundreds of hours used before failure, are
x: 5, 64, 66, 84, 96, 15, 34, 55, 85, 44, 7
y: 7, 28, 15, 17, 36, 97, 85, 96, 76, 57, 1
a. Use the Wilccoxon signed rank statistic to test the
equality of medians of the failure times at an approximate 0.05
level of significance?
b. What is the p-value of your test?