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 5, Problem 1FP
To determine

Explain the notation p(x) in words.

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Answer to Problem 1FP

The notation p(x) is the frequency of times or number of times an outcome occurs divided by the total number of possible outcomes.

Explanation of Solution

Probability:

The probability p(x) is the frequency of times or number of times an outcome occurs divided by the total number of possible outcomes.

That is,

p(x)=Frequency of times an outcome occursTotal number of possible outcomes

Thus, the notation p(x) is the frequency of times or number of times an outcome occurs divided by the total number of possible outcomes.

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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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