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# 2011 the carnegie foundation for the advancement

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Unformatted text preview: the left of a negative test statistic. Step 4: State a Conclusion Small P ­values (less than or equal to α, the level of significance) are sufficient justification to reject the null hypothesis in favor of the alternative. Rejecting the null hypothesis indicates that there is a statistically significant difference between the sample means and thus we can conclude that the two population means also differ. Always conclude the hypothesis test by presenting a conclusion that directly addresses the fundamental research question. TRY THESE A community college math department uses the same final exam for all college algebra students. The department chair is concerned that students in online courses do not do as well as students in on ­site courses. She takes a random sample of 40 on ­site students and 35 online students and determines the final exam score for each student. The mean score for the on ­site students is 75 with a standard deviation of 12. The mean score for the online students is 72 with a standard deviation of 15. Conduct a test at the 5% level of significance to determine if the mean score for all on ­site students is higher than the mean score for all online students Step 1: Determine the Hypotheses 1 If we say that the on ­site students are population 1 and the online students are population 2, give the null and alternative hypotheses. © 2011 THE CARNEGIE FOUNDATION FOR THE ADVANCEMENT OF TEACHING A PATHWAY THROUGH STATISTICS, VERSION 1.6, STATWAY™  ­ STUDENT HANDOUT STATWAY™ STUDENT HANDOUT | 7 Lesson 10.4.1 Inference from Independent Samples 2 Is this a left ­tailed, right ­tailed, or two ­tailed test?...
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