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. To investigate, 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 24 participants and recorded for each participant her experimental "adjustable/ fixed ratio." Our data are summarized in the following histogram. 10 8 6 4 2 0 Frequency 2 3 9 7 3 0 0.2 0.4 0.6 0.8 1.0 Adjustable/ fixed ratio Based on the histogram, estimate the mean adjustable/ fixed ratio for the participants. Carry your intermediate computations to at least four decimal places, and round your answer to at least two decimal places.
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. To investigate, 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. (
), "The moon illusion thirty years later," chapter
in M. Hershenson (Ed.) The Moon Illusion, Hillsdale, NJ: L. Earlbaum.)
We have tested
participants and recorded for each participant her experimental "adjustable/ fixed ratio." Our data are summarized in the following histogram.
Based on the histogram, estimate the mean adjustable/ fixed ratio for the participants. Carry your intermediate computations to at least four decimal places, and round your answer to at least two decimal places.
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