# Question: An example of the vertical horizontal illusion is shown in the

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 horizontal 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 µ = 12.2 inches with a standard deviation of σ = 1.00.

a. Use a one-tailed hypothesis test with a = .01 to demonstrate that the individuals in the sample significantly overestimate the true length of the line. (Note: Accurate estimation would produce a mean of µ = 10 inches.)

b. Calculate the estimated d and r2, the percentage of variance accounted for, to measure the size of this effect.

For a sample of n = 25 participants, the average estimate was µ = 12.2 inches with a standard deviation of σ = 1.00.

a. Use a one-tailed hypothesis test with a = .01 to demonstrate that the individuals in the sample significantly overestimate the true length of the line. (Note: Accurate estimation would produce a mean of µ = 10 inches.)

b. Calculate the estimated d and r2, the percentage of variance accounted for, to measure the size of this effect.

## Answer to relevant Questions

In studies examining the effect of humor on interpersonal attractions, McGee and Shevlin (2009) found that an individual's sense of humor had a significant effect on how the individual was perceived by others. In one part of ...Find the t values that form the boundaries of the critical region for a two-tailed test with a = .05 for each of the following sample sizes: a. n = 6 b. n = 12 c. n = 24 For each of the following, calculate the pooled variance and the estimated standard error for the sample mean difference. a. The first sample has n = 4 scores and a variance of s2 = 55, and the second sample has n = 6 scores ...Describe what is measured by the estimated standard error in the bottom of the independent-measures t statistic. One sample has SS = 70 and a second sample has SS = 42. a. If n = 8 for both samples, find each of the sample variances, and calculate the pooled variance. Because the samples are the same size, you should find that the ...Post your question