In a study of the moon illusion (which we will discuss later), Kaufman and Rock (1962) tested a hypothesis about reasons for the moon illusion by comparing how observers performed when they were able to look at the moon with their eyes level, and again with their eyes elevated.

The data for the Eyes Level condition (represented as X)was:

1.65 1.00 2.03 1.25 1.05 1.02 1.67 1.86 1.56 1.73

The data for the Eyes Elevated condition (represented as Y) was:

1.73 1.06 2.03 1.40 0.95 1.13 1.41 1.73 1.63 1.56

1. Calculate Xand Y.
2. What are Y₁and Y₁₀?
3. Calculate (Y)² and Y².
4. Calculate (X)(Y).
5. Use this data to show that XY XY. ( means "does not equal.")
6. Use this data to show that CX = CX, where C = 5.
7. Calculate X/N, where N = the number of scores in X.
8. What do you call the answer to #14?