EC255 Lecture Notes - Lecture 8: Bell-Bottoms, Boeing 727, Confidence Interval

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We are sampling distribution to draw inferences about the unknown population parameters. Point estimate: the single value of a statistic calculated from a sample which is used to estimate a population parameter. Confidence interval: a range of values calculated from sample statistics and standardized statistics, such as z. Confidence interval provides more information about a population characteristic than point estimate. Takes into consideration variation from sample to sample. Stated in terms of level of confidence never 100% sure. Correct interpretation: in the long run, 95% of all confidence intervals that can be constructed will contain unknown true parameter. A specific interval either will contain or will not contain the true parameter. For 95% confidence, = 0. 05, and = 0. 025. Value of z a/2 or z 0. 025 is found by looking for 0. 5 0. 025 = 0. 4750. Sample of 44 responses yielded mean of 10. 455 years. Suppose the population standard deviation is 7. 7 years.

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