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# The first sample has sleep durations of 14 children

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Unformatted text preview: Step 2: Collect the Data 3 Are the criteria for sampling distribution normality met? Explain. 4 Are the samples independent? Explain. 5 Calculate the difference of sample means, !! − !! . 6 Is the difference of sample means consistent with your alternative hypothesis? Step 3: Assess the Evidence 7 Calculate the test statistic for your observed mean of sample differences. © 2011 THE CARNEGIE FOUNDATION FOR THE ADVANCEMENT OF TEACHING A PATHWAY THROUGH STATISTICS, VERSION 1.6, STATWAY™  ­ STUDENT HANDOUT STATWAY™ STUDENT HANDOUT | 8 Lesson 10.4.1 Inference from Independent Samples 8 Sketch the T ­distribution and identify the position of the observed test statistic. Shade the area that represents the P ­value. 9 Find the P ­value. In this example there are 64 degrees of freedom for the T ­distribution. Step 4: State a Conclusion 10 How does the P ­value compare to the significance level? Should we reject or fail to reject the null hypothesis? 11 What can we conclude about the alternative hypothesis? 12 State a conclusion in the context of the problem. © 2011 THE CARNEGIE FOUNDATION FOR THE ADVANCEMENT OF TEACHING A PATHWAY THROUGH STATISTICS, VERSION 1.6, STATWAY™  ­ STUDENT HANDOUT STATWAY™ STUDENT HANDOUT | 9 Lesson 10.4.1 Inference from Independent Samples TAKE IT HOME Most children enjoying watching television, but child psychologists are concerned that watching 3 hours or more of television per day negatively impacts a child’s ability to sleep. Consider the following independent samples. The first sample has sleep durations of 14 children who watched telev...
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