Statistics for the Behavioral Sciences
Statistics for the Behavioral Sciences
2nd Edition
ISBN: 9781452286907
Author: Gregory J. Privitera
Publisher: SAGE Publications, Inc
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Chapter 10, Problem 1FP
To determine

Distinguish related samples from independent samples.

Expert Solution & Answer
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Answer to Problem 1FP

In related samples the participants are either matched or observed twice whereas in independent samples the participants of each group are different.

Explanation of Solution

Justification: In independent samples test, the participants in each of the group are different that is the participants are not related to each other. In related samples the participants of each group are related. The participants of each group are matched in common characteristics or each of the participants is measured more than once in the study.

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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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