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Unformatted text preview: ting the value of an unknown parameter using a single value or point.
Population distribution Parameter ?
Sampling distribution Point estimate Slide 5 Interval Estimate
An interval estimate draws inferences about a population by estimating the value of an unknown parameter using an interval.
Population distribution Sample distribution Parameter Interval estimate Slide 6 Interval Estimation of a Population Mean: LargeSample Case
s s Calculating an Interval Estimate: LargeSample Case with σ Known Known Calculating an Interval Estimate: LargeSample Case with σ Unknown Unknown Slide 7 Estimating the Population Mean when the Population Variance is Known
s How is an interval estimate produced from a sampling distribution? • A sample of size n is drawn from the population, and its mean is calculated. x x • By the central limit theorem is normally distributed (or approximately normally distributed.), thus… Slide 8 Estimating the Population Mean when the Population Variance is Known
s For sufficient large sample size (n ≥ 30) s We have established in the last topic that x− µ Z= σn P(µ − zα 2 σ σ ≤ x ≤ µ + zα 2 )= 1− α n n Slide 9 The Confidence Interval for µ ( σ is known)
s This leads to t...
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- Spring '09