Mathematical Statistics And Data Analysis
Mathematical Statistics And Data Analysis
9th Edition
ISBN: 9788131519547
Author: RICE
Publisher: Cengage Learning
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Chapter 3.8, Problem 25P
To determine

Show that the density of Y is symmetric about zero, that is fY(y)=fY(y).

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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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