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# section6 - Statistics 104 Spring 2011 Section#6 Topics for...

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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 18-25 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 one-sided or two-sided test? How do you know? If we set the α-level 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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section6 - Statistics 104 Spring 2011 Section#6 Topics for...

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