Question

You’re still not convinced of your findings about Wayne East’s album, so you decide to do an experiment on how happy people are after listening to Wayne’s new album, and compare this to a group that listen to a lecture on Astrophysics. The table below shows the enjoyment levels in both groups. Wayne Astrophysics 2.5 8.0 7.4 5.5 7.2 3.2 6.5 6.2 What is the sum of the ranks in the Wayne group?

Answer 1

The sum of ranks in the Wayne group, based on enjoyment levels, is 36, derived from assigning ranks to each observation.

To determine the sum of ranks for the Wayne group's enjoyment levels, you'll need to assign ranks to the data and then sum these ranks. Here's a step-by-step explanation:

1. Sort the Wayne group data in ascending order:

2.5, 3.2, 5.5, 6.2, 6.5, 7.2, 7.4, 8.0

2. Assign ranks to each observation:

- 2.5 gets rank 1

- 3.2 gets rank 2

- 5.5 gets rank 3

- 6.2 gets rank 4

- 6.5 gets rank 5

- 7.2 gets rank 6

- 7.4 gets rank 7

- 8.0 gets rank 8

3. Sum the ranks:

1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 = 36

So, the sum of ranks in the Wayne group is 36. This provides a basis for statistical analysis, such as the Mann-Whitney U test, to compare the enjoyment levels between the Wayne group and the Astrophysics group.