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Chapter11 - ChapterEleven 11 1 Two-Sample Tests of...

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11- 1 Chapter Eleven Two-Sample Tests of Hypothesis Two-Sample Tests of Hypothesis GOALS When you have completed this chapter, you will be able to: TWO Conduct a test of hypothesis regarding the difference in two population proportions. THREE Conduct a test of hypothesis about the mean difference between paired or dependent observations. ONE Conduct a test of hypothesis about the difference between two independent population means.
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11- 2 Chapter Eleven   continued Two Sample Tests of Hypothesis Two Sample Tests of Hypothesis GOALS When you have completed this chapter, you will be able to: FOUR Understand the difference between dependent and independent samples.
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11- 3 Comparing two populations Does the distribution of the differences in sample means have a mean of 0? Comparing two populations If both samples contain at least 30 observations we use the z distribution 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: 2 2 2 1 2 1 2 1 n s n s X X z + - =
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11- 4 EXAMPLE 1 with 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 $35,000
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11- 5 Example 1 continued Step 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 z as the test statistic. Step 1 State the null and alternate hypotheses.
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