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20. An example of the vertical-horizontal illusion is shown in the figure. Although the two lines are exactly the same length, the vertical line appears to be much longer. To examine the strength of this illusion. a researcher prepared an example in which both lines were exactly 10 inches long. The example was shown to individual participants who were told that the hori- zontal line was 10 inches long and then were asked to estimate the length of the vertical line. For a sample of n = 25 participants, the average estimate was M = 12.2 inches with a standard deviation of %3D %3D S= 1.00. %3D a. Use a one-tailed hypothesis test with a = .01 to demonstrate that the individuals in the sample sig- nificantly overestimate the true length of the line. (Note: Accurate estimation would produce a mean of p. = 10 inches.) b. Calculate the estimated d and r, the percentage of variance accounted for, to measure the size of this effect. %3D C. Construct a 95% confidence interval for the popu- Tation mean estimated length of the vertical line.

20. An example of the vertical-horizontal illusion is shown in the figure. Although the two lines are exactly the same length, the vertical line appears to be much longer. To examine the strength of this illusion. a researcher prepared an example in which both lines were exactly 10 inches long. The example was shown to individual participants who were told that the hori- zontal line was 10 inches long and then were asked to estimate the length of the vertical line. For a sample of n = 25 participants, the average estimate was M = 12.2 inches with a standard deviation of %3D %3D S= 1.00. %3D a. Use a one-tailed hypothesis test with a = .01 to demonstrate that the individuals in the sample sig- nificantly overestimate the true length of the line. (Note: Accurate estimation would produce a mean of p. = 10 inches.) b. Calculate the estimated d and r, the percentage of variance accounted for, to measure the size of this effect. %3D C. Construct a 95% confidence interval for the popu- Tation mean estimated length of the vertical line.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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20. An example of the vertical-horizontal illusion is shown in the figure. Although the two lines are exactly the same length, the vertical line appears to be much longer. To examine the strength of this illusion. a researcher prepared an example in which both lines were exactly 10 inches long. The example was shown to individual participants who were told that the hori- zontal line was 10 inches long and then were asked to estimate the length of the vertical line. For a sample of n = 25 participants, the average estimate was M = 12.2 inches with a standard deviation of %3D %3D S= 1.00. %3D a. Use a one-tailed hypothesis test with a = .01 to demonstrate that the individuals in the sample sig- nificantly overestimate the true length of the line. (Note: Accurate estimation would produce a mean of p. = 10 inches.) b. Calculate the estimated d and r, the percentage of variance accounted for, to measure the size of this effect. %3D C. Construct a 95% confidence interval for the popu- Tation mean estimated length of the vertical line.
Transcribed Image Text:20. An example of the vertical-horizontal illusion is shown in the figure. Although the two lines are exactly the same length, the vertical line appears to be much longer. To examine the strength of this illusion. a researcher prepared an example in which both lines were exactly 10 inches long. The example was shown to individual participants who were told that the hori- zontal line was 10 inches long and then were asked to estimate the length of the vertical line. For a sample of n = 25 participants, the average estimate was M = 12.2 inches with a standard deviation of %3D %3D S= 1.00. %3D a. Use a one-tailed hypothesis test with a = .01 to demonstrate that the individuals in the sample sig- nificantly overestimate the true length of the line. (Note: Accurate estimation would produce a mean of p. = 10 inches.) b. Calculate the estimated d and r, the percentage of variance accounted for, to measure the size of this effect. %3D C. Construct a 95% confidence interval for the popu- Tation mean estimated length of the vertical line.
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