Understanding Confidence Intervals in Statistics, Study notes of Statistics

Download Understanding Confidence Intervals in Statistics and more Study notes Statistics in PDF only on Docsity! stat 226 Interpreting Confidence Intervals Handout 7 The following are correct interpretations of confidence intervals: - I am 90% confidence that the interval (119.5, 128.1) captures the true mean yield in bushels per acre. - The interval (22.7 degrees, 26.8 degrees) gives a range of reasonable values for the average angle of deformity for all patients having HAS, a deformity of the big toe. We are 95% confident of this. - The mean IQ of all seventh-grade girls in the school district is somewhere between 95.3 and 109.2 with 99% confidence. The following are incorrect interpretations of confidence intervals: - 99% of the IQs are contained in the interval (95.3, 109.2). - The probability that the interval (119.5, 128.1) captures the true mean yield in bushels per acre is .90 - We are 95% confident that the interval (22.7 degrees, 26.8 degrees) contains the sample average angle of deformity for the 38 patients having HAV. - 99% of the time, the mean IQs of all seventh-grade girls will be contained in the interval (95.3, 109.2). - We are 90% confident that the interval (119.5, 128.1) captures the yields in bushels per acre.