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Statistics 104 – Spring 2011
Section #6
Topics for Section
Hypothesis Testing: Means, Proportions
Matched pairs confidence interval and hypothesis test
Note on Hypothesis Tests
Many of the tests we consider are built using the following formula, where in this formula we calculate
some statistic from our sample and call it Y.
[Y – E(Y  H
0
is true)] / SD(Y  H
0
is true)
Practice Problems
1. The mean height of women aged 1825 in the U.S. is known to be 65”, with standard deviation 3”.
We want to see if a woman in STAT 104 has a similar height to the average woman in this age range.
Assume for now that the population standard deviation for heights of women in Statistics 104 is 4”.
a. What are our hypotheses?
b. Is this a onesided or twosided test? How do you know? If we set the αlevel to be 0.05, how many
standard errors away from the mean does our sample have to be to reject the null hypothesis?
c. If we sample 20 female students from STAT 104, what is our sample standard error going to be?
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 Fall '11
 MichaelParzen
 Statistics

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