# stat400lec30 - estimate of μ is ε n z σ ε α 2 =...

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Statistics 400 Section 7.6 Sample Size Calculation Review: Confidence Interval Form: estimate ± margin of error n z x σ α * 2 / ± n s t x * 2 / ± n n Y n Y z n Y ) / 1 ( / 2 / - ± The length of the interval = 2*margin of error Tow factors associated with width (length) of confidence interval (1) Sample size n (2) Confidence coefficient Maximum error of the estimate ( ε ) (1) The normal mean (2) The proportion Ping Ma Lecture 30 Fall 2005 - 1 -

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(1)The normal mean If X has a normal distribution N( μ , σ 2 ) where σ 2 is known, Find the sample size n so that we are 100(1- α )% confident that maximum error of the
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Unformatted text preview: estimate of μ is ε n z σ ε α * 2 / = Example : Let the tarsus length for a male grackle is normal distributed N( μ , 4.84). Find the sample size n so that we are 95% confident that maximum error of the estimate of μ is 0.4. Ping Ma Lecture 30 Fall 2005- 2 -(2)The proportion Let Y ~ b(n,p) Find the sample size n so that we are 100(1-α )% confident that maximum error of the estimate of p is ε n p p z ) 1 ( * * 2 /-= α ε Ping Ma Lecture 30 Fall 2005- 3 -...
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stat400lec30 - estimate of μ is ε n z σ ε α 2 =...

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