The Moon Illusion refers, roughly speaking, to the common experience that the mo

Question

The Moon Illusion refers, roughly speaking, to the common experience that the moon appears larger (and closer to us) when it is near the horizon than when it is at its zenith. Wishing to investigate the causes of the illusion (which are still debated), we have designed an experiment in which participants must adjust the diameter of a variable circular light placed at eye level to match the diameter of a fixed circular light placed well above eye level. (See, for example, Kaufman, L. & Rock, I. (1989), "The moon illusion thirty years later, " chapter 8 in M. Hershenson (Ed.) The Moon Illusion, Hillsdale, NJ: L. Earlbaum.) We have tested 25 participants and recorded for each participant her experimental "adjustable/fixed ratio." Our data are summarized in the following histogram: Based on the histogram, find the proportion of adjustable/fixed ratios in the sample that are greater than or equal to 0.40. Write your answer as a decimal, and do not round your answer.

Explanation / Answer

Answer

Total sample size, n = 25

No of adjustable/fixed ratios greater than or equal to 0.40 = 8 + 4 + 2 = 14

Therefore, proportion of adjustable/fixed ratios greater than or equal to 0.40 = 14/25 = 0.56

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