Statistics
Statistics
4th Edition
ISBN: 9780393929720
Author: David Freedman, Robert Pisani, Roger Purves
Publisher: Norton, W. W. & Company, Inc.
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Chapter 10.3, Problem 2EC

(a)

To determine

Find the predicted percentile rank on the first-year GPA for a student whose percentile rank on the SAT was 90%.

(b)

To determine

Find the predicted percentile rank on the first-year GPA for a student whose percentile rank on the SAT was 30%.

(c)

To determine

Find the predicted percentile rank on the first-year GPA for a student whose percentile rank on the SAT was 50%.

(d)

To determine

Find the predicted percentile rank on the first-year GPA for a student whose percentile rank on the SAT was unknown.

Compare the obtained result to Part (a) with example 2.

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To  evaluate  the  success  of  a  1-year  experimental  program  designed  to  increase  the  mathematical achievement of underprivileged high school seniors, a random sample of participants in the program will be selected and their mathematics scores will be compared with the previous year’s  statewide  average  of  525  for  underprivileged  seniors.  The  researchers  want  to  determine  whether the experimental program has increased the mean achievement level over the previous year’s statewide average. If alpha=.05, what sample size is needed to have a probability of Type II error of at most .025 if the actual mean is increased to 550? From previous results, sigma=80.
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