n = 9 scores, compute r and the estimated Cohen's d to measure a. A the size of treatment effect. Assuming that the sample consists of n- scores, compute r and the estimated Cohen's d to measure the size of treatment effect. c. Comparing your answers from parts a and b, how does the number of scores in the sample influence 16 the measures of effect size? 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 s = 1.00. 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 u = 10 inches.) b. Calculate the estimated d and r, the percentage of variance accounted for, to measure the sze of this effect. c. Construct a 95% confidence interval for the popu- lation mean estimated length of the verticai line.

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n = 9 scores,
compute r and the estimated Cohen's d to measure
a. A
the size of treatment effect.
Assuming that the sample consists of n-
scores, compute r and the estimated Cohen's d to
measure the size of treatment effect.
c. Comparing your answers from parts a and b, how
does the number of scores in the sample influence
16
the measures of effect size?
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
s = 1.00.
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 u = 10 inches.)
b. Calculate the estimated d and r, the percentage of
variance accounted for, to measure the sze of this
effect.
c. Construct a 95% confidence interval for the popu-
lation mean estimated length of the verticai line.
Transcribed Image Text:n = 9 scores, compute r and the estimated Cohen's d to measure a. A the size of treatment effect. Assuming that the sample consists of n- scores, compute r and the estimated Cohen's d to measure the size of treatment effect. c. Comparing your answers from parts a and b, how does the number of scores in the sample influence 16 the measures of effect size? 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 s = 1.00. 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 u = 10 inches.) b. Calculate the estimated d and r, the percentage of variance accounted for, to measure the sze of this effect. c. Construct a 95% confidence interval for the popu- lation mean estimated length of the verticai line.
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