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Chapter 11 for students

Chapter 11 for students - Chapter 11 Two-Sample Tests of...

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Chapter 11 – Two-Sample Tests of Hypothesis Chapter 11 Two-Sample Tests of Hypothesis 1. a. Two-tailed test b. Reject H o if z < - 2.05 or z > 2.05 c. 2.59, found by d. Reject H o e. p = 0.0096, found by 2(0.5000 – 0.4952) 2. a. One-tailed test b. Reject H o c. 0.607 found by d. Fail to reject H o e. p = 0.2709, found by 0.5000 – 0.2291 3. Step 1: H o : μ 1 μ 2 H 1 : μ 1 < μ 2 Step 2: The 0.05 significance level was chosen Step 3: Reject H o Step 4: - 0.94, found by Step 5: Fail to reject H o . Babies using the Gibbs brand did not gain less weight. p = 0.1736 found by 0.5000 – 0.3264 4. Step 1: H o : μ c = μ p H 1 : μ c μ p Step 2: The 0.05 significance level was chosen Step 3: Reject H o Step 4: - 1.53, found by Step 5: Fail to reject H o . There is no difference in the mean number of miles traveled per month. The p -value is 0.126 found by 2(0.5000 – 0.4370) 11-1
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Chapter 11 - Two Sample Tests of Hypothesis 5. Two-tailed test. Because we are trying to show a difference exists between two means. Reject H o if z < - 2.58 or z > 2.58 - 2.66, found by Reject H o at the 0.01 level. There is a difference in the mean turnover rate. 6. H o : μ 1 μ 2 H 1 : μ 1 > μ 2 If z > 2.05, reject H o . Reject the null. It is reasonable to conclude union nurses earn more. The p -value is 0.0183. 7. a. H o is rejected if z > 1.65 b. 0.64, found by c. 1.61, found by d. H o is not rejected 8. a. H o is rejected if z < - 1.96 or z > 1.96 b. 0.80, found by c. 2.70, found by d. H o is rejected 9. a. H o : π 1 = π 2 H 1 : π 1 π 2 b. H o is rejected if z < - 1.96 or z > 1.96 c. 11-2
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Chapter 11 – Two-Sample Tests of Hypothesis d. - 2.09, found by e. H o is rejected. The proportion infested is not the same in the two fields. 11-3
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Chapter 11 - Two Sample Tests of Hypothesis 10. a. H o : π 1 π 2 H 1 : π 1 < π 2 b. H o is rejected if z < - 1.65 c. - 12.60, found by d. H o is rejected. The proportion of women who think men are thoughtful has declined. 11. H o : π d π r H 1 : π d > π r H o is rejected if z > 2.05 H o is not rejected. There is no difference in the proportion of Democrats and Republicans who favor lowering the standards. 12. H o : π s = π m H 1 : π s π m H o is rejected if z < - 1.96 or z > 1.96 H o is not rejected. There is no difference in the proportion of married and single drivers who have accidents.
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