lecture12 - Chapter 7one sample inference I Confidence...

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Unformatted text preview: Chapter 7one sample inference I Confidence interval for population mean I The idea is to give an interval such that you can claim with certain probability, the true population parameter is going to be in the interval. I In the large sample case, x 2 x = x 2 n has good coverage probabilities. Why? Hospital patients I For this dataset, we can read from the book (page 307) that x = 4 . 53 days and s = 3 . 68 days. So we can construct the interval x 2 x = 4 . 53 2 100 , but we dont know , how can we approximate it? x 2 100 x 2 s 100 = 4 . 53 2 3 . 68 10 = 4 . 53 . 74 . Interval estimator and confidence coefficient I Definition 7.2: An interval estimator or ( confidence interval) is a formula that tells us how to use sample data to calculate an interval that estimates a population parameter. I Definition 7.3: The confidence coefficient is the probability that an interval estimator encloses the population parameter that is, the relative frequency...
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lecture12 - Chapter 7one sample inference I Confidence...

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