Assume that for the following data Missed 6 4 3 5 2 Distribu

Assume that, for the following data:

Missed 6, 4, 3, 5, 2

Distributed 5, 3, 2, 2, 3

the Morse code researcher did not match the subjects. Which statistical test would be appropriate? Carry out the test and evaluate the outcome at the .05 level and a nondirectional prediction.

Solution

Wilcoxon rank sum test will be appropriate.

First arrange the data (combined) is an ascending order:

2,2,2,3,3,3,4,5,5,6

Then assign ranks to the combined data:

2,2,2,5,5,5,7,8.5,8.5,10

Initially, 1,2,3…ranks are given then for ties an average was made and that rank has been assigned.

Now, look upto the Wilcoxon rank table for m=5 and N=5.

With alpha=0.05, the value is 4.

Now, calculate the rank sum which is smaller between the two: 8.5+5+2+2+5=22.5

Since, 22.5 is greater than 4, reject the null hypothesis.