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Unformatted text preview: Introduction to confidence intervals – Examples 1. The temperature in degrees F of 20 individuals was measured: 101.8 98.3 95.9 97.5 99.4 97.3 98.2 103.8 101.0 97.2 100.2 100.3 96.8 96.5 97.9 99.4 97.8 93.5 99.7 99.2 The observed sample mean is ¯ x = 98 . 585 degrees F and the observed sample standard deviation is s = 2 . 277181 degrees F. (a) Compute a 90% confidence interval for μ , the population mean temperature (i.e. the mean of the distribution used to model temperature of individuals in a large population). State all assumptions made and interpret the interval. (b) If three of the individuals who’s temperature was measured are a father and his two sons, explain why it may be unreasonable to assume that x 1 ,...,x 20 are a realization of a random sample from a distribution (e.g. from N ( μ,σ )). (c) Would a 99% confidence interval computed for these observations be wider than the 90% confidence interval?...
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This note was uploaded on 05/06/2011 for the course STAT 5021 taught by Professor Staff during the Spring '08 term at Minnesota.
- Spring '08