M119L29Point5

# M119L29Point5 - (Lesson 29.5 Inferences from Two Samples...

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(Lesson 29.5: Inferences from Two Samples; Ch.9) 9.01 CHAPTER 9: INFERENCES FROM TWO SAMPLES (LESSON 29.5) Only Part A of this Lesson is fair for your Final. PART A: MEANS FROM DEPENDENT SAMPLES: MATCHED PAIRS (SECTION 9-4) A matched pair of data values may correspond to two different measures for one individual (as in Example 1 below), the same measures for a husband/wife couple, etc. When comparing the means for the two measures, we perform our usual tests on the differences ( d ) between the measures for each matched pair. The population data Let D be the distribution of the population of differences between all the matched pairs. Let μ d be the mean of the D distribution. The sample data Let d and s d be the sample mean and the sample standard deviation, respectively, for the differences between the paired sample data values. Let n be the number of matched pairs of sample data values. CLT Assumptions : We require: n > 30 , or D is approximately normally distributed.

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(Lesson 29.5: Inferences from Two Samples; Ch.9) 9.02 Example 1 We take a random sample of three men from the participants in a men’s weight loss program. Use the sample data below to test the claim that participants in the program lose weight on average. Use a significance level of 0.05. Assume that the weight changes of the participants in the program are approximately normally distributed. Subject # Before Weight (lbs.) After Weight (lbs.) 1 230 225 2 250 248 3 210 211 Solution to Example 1 We calculate the differences, d , from the given table. Subject # Before Weight (lbs.) After Weight (lbs.) Differences ( d in lbs.) 1 230 225 5 2 250 248 2 3 210 211 ± 1 Here, we take differences “Before” – “After.” More on this later.
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M119L29Point5 - (Lesson 29.5 Inferences from Two Samples...

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