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lab4f09_ans - STAT 401C Question 1 FALL 2009 Answer Key a...

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STAT 401C FALL 2009 Answer Key Question 1. a) Confidence Interval a. Sample 1: 90% confidence interval ( ) .05,11 23.46 CI = 40 1.796 12 27.84, 52.16 S Y t n ± = ± = b. Sample 2: 95% confidence interval ( ) .025,11 27.59 CI = 50.33 2.201 12 32.80, 67.86 S Y t n ± = ± = c. Sample 3: 99% confidence interval ( ) .005,11 33.94 99% CI = 59.17 3.106 12 28.74, 89.60 S Y t n ± = ± = b) Hypothesis Test a. Sample 1: 0 : 50 : 50 a H vs H μ μ = 0 .025,11 .025,11 0 40 50 Test Statistic 1.477 23.46 12 Critical Value 2.201 | | . Fail to reject . Significant level: value = ( | |) c c c Y t S n t t t H p P T t μ = = = − = < >
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b. Sample 2: 0 : 50 : 50 a H vs H μ μ > 0 .05,11 .05,11 0 Right-tailed Test: 50.33 50 Test Statistic .0414 27.59 12 Critical Value: 1.796 Fail to reject . Significant level: value = ( ) 0.4838 c c c Y t S n t t t H p P T t μ = = = = < > = c. Sample 3: 0 : 50 : 50 a H vs H μ μ < 0 .05,11 .05,11 0 Left-tailed Test: 59.17 50 Test Statistic .9359 33.94 12 Critical Value: 1.796 Fail to reject . Significant level: value = ( ) 0.8153 c c c Y t S n t t t H p P T t μ = = = = − > > =
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Question 2. a) and b) Distributions Sample 1 Moments Mean 40 Std Dev 23.455955 Std Err Mean 6.7711509 upper 95% Mean 54.903203
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