Testing_for_Means 9.1-9.5

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Unformatted text preview: hesis Testing for One Population Mean Comparing Two Means for Two Independent Populations Comparing Two Means for Two Dependent Populations The t-table Confidence Intervals and Hypothesis Testing for Population Hypothesis Testing for Population Means Hypothesis Testing for One Population Mean Comparing Two Means for Two Independent Populations Comparing Two Means for Two Dependent Populations Using the t-table How to use the t − table : http://www.youtube.com/watch?v=tI6mdx3s0zk Confidence Intervals and Hypothesis Testing for Population Hypothesis Testing for Population Means Hypothesis Testing for One Population Mean Comparing Two Means for Two Independent Populations Comparing Two Means for Two Dependent Populations Confidence Interval S x ± tα /2,n−1 · √ ¯ n Confidence Intervals and Hypothesis Testing for Population Hypothesis Testing for Population Means Hypothesis Testing for One Population Mean Comparing Two Means for Two Independent Populations Comparing Two Means for Two Dependent Populations Example Confidence Intervals and Hypothesis Testing for Population Hypothesis Testing for Population Means Hypothesis Testing for One Population Mean Comparing Two Means for Two Independent Populations Comparing Two Means for Two Dependent Populations Overview of Comparing Two Means Consider two populations (groups) having means 2 2 and variances (µ1 , σ1 ) and (µ2 , σ2 ) respectively. We are interested in the comparing the means µ1 − µ2 . Suppose two samples of size n1 and n2 are drawn independently from each population. 2 ¯ ¯ Let Y1 and Y2 denote the sample means and s1 2 and s2 denote the sample variances. ¯ For large samples, the random variables, Y1 and ¯ Y2 , are approximately normal. ¯ ¯ Thus the random variable Y1 − Y2 is also Confidence approximately normal, that is Intervals and Hypothesis Testing for Population Hypothesis Testing for Population Means Hypothesis Testing for One Population Mean Comparing Two Means for Two Independent Populations Comparing Two Means for Two Dependent Populations Assumptions and Conditions Independence Assumption: Randomization: the data are collected randomly 10% of...
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This test prep was uploaded on 03/12/2014 for the course STATS 10 taught by Professor Ioudina during the Spring '08 term at UCLA.

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