Testing_for_Means 9.1-9.5

# Condence intervals and hypothesis testing for

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Unformatted text preview: e sample comes from a normal population, use the regardless of σ known or unknown 1 The test statistic is t-test, t= ¯ x − µ0 √ S/ n where S is the standard deviation of the sample. 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 Small sample size test for µ (continued) small n and no restriction on σ 2. Rejection region: compare tcalculated to ttable For Ha : µ > µ0 , reject H0 if tcalculated >ttable where ttable = tα ,n−1 For Ha : µ < µ0 , reject H0 if tcalculated <ttable For Ha : µ = µ0 , reject H0 if tcalculated >ttable or tcalculated <ttable where ttable = tα /2,n−1 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 t-distribution for small sample 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: CI for a one-sample mean ¯ Given n = 100, y = 10, sd =2 ¯ Question: Create a 95% CI for y CI = y ± tα /2 SE (¯) ¯∗ y 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 Calculating critical value t By hand using the t-table or p-value Online Calculator for t distribution 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 T...
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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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