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Unformatted text preview: NT HANDOUT STATWAY™ STUDENT HANDOUT  4 Lesson 10.4.1 Inference from Independent Samples 3 Compute a 95% confidence interval for the difference of population means. 4 Does the confidence interval above allow for the means to be equal? Explain your answer. 5 Based on the confidence interval in Question 4, what can you conclude about the difference in mean commute times for students and faculty? 6 Interpret the confidence interval you calculated in question 3, rounding the values to one decimal place. NEXT STEPS Hypothesis Tests for the Difference of Population Means We now begin the hypothesis test that compares the difference between two population means, using independent samples. Here is an outline of the process. Step 1: Determine the Hypotheses The null hypothesis states that the difference between the two population means is 0. This is equivalent to stating that the population means are equal. !! :!! − !! = 0, which is equivalent to !! :!! = !! The alternative hypothesis is one of the following inequalities: © 2011 THE CARNEGIE FOUNDATION FOR THE ADVANCEMENT OF TEACHING A PATHWAY THROUGH STATISTICS, VERSION 1.6, STATWAY™
STUDENT HANDOUT STATWAY™ STUDENT HANDOUT  5 Lesson 10.4.1 Inference from Independent Samples !! :!! − !! < 0. This is equivalent to: !! :!! < !! , for a left
tailed test. !! :!! − !! > 0. This is equivalent to: !! :!! > !! , for a right
tailed test. !! :!! − !! ≠ 0. This is equivalent to: !! :!! ≠ !! , for a two
tailed test. Step 2: Collect the Data We will assume that the criteria for the approximate normality of the sampling distributions are met: each popul...
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This document was uploaded on 03/13/2014 for the course MATH 75 at Skyline College.
 Spring '14

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