chap14_2010

# chap14_2010 - Chapter 14 Single-Population Estimation...

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Unformatted text preview: Chapter 14 Single-Population Estimation Population Statistics • Population Statistics: , usually unknown • Using Sample Statistics to estimate population statistics: – Point estimates – Confidence interval 2 ˆ d R = σ k x x ∑ = = μ ˆ 4 ˆ c s = σ Confidence Interval • Wrong Meaning: Probability within the confidence interval is ..% • True meaning: The interval will contain the population statistics ..% times Confidence Interval for Population Mean Confidence Interval • If is known, • If is unknown, n z x n z x σ μ σ α α 2 2 1- + ≤ ≤ + n s t x n s t x n n 1 , 1 , 2 2-- + ≤ ≤- α α μ Common Confidence Levels Confidence Level 1- /2 1-/2 90% .90 .10 .05 .95 95% .95 .05 .025 .975 99% .99 .01 .005 .995 z 0.900 1.282 0.950 1.645 0.975 1.960 0.990 2.326 0.995 2.576 0.100-1.282 0.050-1.645 0.025-1.960 0.010-2.326 0.005-2.576 1- /2 /2-z z 1- -z Example 14.2 =350, n=40, • 90% CI • 95% CI • 99% CI n z x n z x σ μ σ α α 2 2 1- + ≤ ≤ + 840 = x 40 350 645 . 1 840 40 350 645 . 1 840 + ≤ ≤- μ 03 . 931 97 . 748 ≤ ≤ μ 40 350 960 . 1 840 40 350 960 . 1 840 + ≤ ≤- μ 46 . 948 54 . 731 ≤ ≤ μ 40 350 576 . 2 840 40 350 576 . 2 840 + ≤ ≤- μ 55 . 982 45 . 697 ≤ ≤ μ Confidence Interval for...
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chap14_2010 - Chapter 14 Single-Population Estimation...

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