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Unformatted text preview: 11 1Chapter ElevenTwoSample Tests of HypothesisTwoSample Tests of HypothesisGOALSWhen you have completed this chapter, you will be able to:TWOConduct a test of hypothesis regarding the difference in two population proportions. THREEConduct a test of hypothesis about the mean difference between paired or dependent observations.ONEConduct a test of hypothesis about the difference between two independent population means.11 2Chapter Eleven continuedTwo Sample Tests of HypothesisTwo Sample Tests of HypothesisGOALSWhen you have completed this chapter, you will be able to:FOURUnderstand the difference between dependent and independent samples.11 3Comparing two populations Does the distribution of the differences in sample means have a mean of 0?Comparing two populationsIf both samples contain at least 30 observations we use the zdistribution as the test statistic.No assumptions about the shape of the populations are required.The samples are from independent populations.The formula for computing the value of z is:22212121nsnsXXz+=11 4EXAMPLE 1with a standard deviation of $7,000 for a sample of 35 households. At the .01 significance level can we conclude the mean income in Bradford is more? Two cities, Bradford and Kane are separated only by the Conewango River. There is competition between the two cities. The local paper recently reported that the mean household income in Bradford is $38,000 with a standard deviation of $6,000 for a sample of 40 households. The same article reported the mean income in Kane is $35,00011 5Example 1 continuedStep 2 State the level of significance. The .01 significance level is stated in the problem.Step 3 Find the appropriate test statistic. Because both samples are more than 30, we can use zas the test statistic.Step 1 State the null and alternate hypotheses.H: B <K H1: B > KStep 4 State the decision rule....
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 Fall '11
 Ms.Deppen

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