STAT 3470 Study Guide - Midterm Guide: Exponential Distribution, Confidence Interval, Vehicle Insurance
4 Oct 2018
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The following questions will help you prepare for exam 2. More review exercises to come: the environmental protection agency (epa) is concerned about pollution caused by factories that burn sulfur-rich fuel. In order to decrease the impact on the environment, factory chimneys must be high enough to allow pollutants to dissipate over a larger area. Assume that the mean height of chimneys in these factories is 100 meters with standard deviation 12 meters. Conditions: we have a random sample (cid:1866)=(cid:886)(cid:882)>(cid:885)(cid:882) By the central limit theorem, (cid:1850) ~(cid:1840)(cid:4672)(cid:883)(cid:882)(cid:882),(cid:2869)(cid:2870)2(cid:2872)(cid:2868)(cid:4673) (cid:4666)(cid:1850) >(cid:883)(cid:882)(cid:884)(cid:4667)=(cid:4684)(cid:1852)>(cid:883)(cid:882)(cid:884) (cid:883)(cid:882)(cid:882) (cid:883)(cid:884) (cid:886)(cid:882) (cid:4685)=(cid:4666)(cid:1852)>(cid:883). (cid:882)(cid:887)(cid:4667)=(cid:883) (cid:4666)(cid:1852)(cid:3409)(cid:883). (cid:882)(cid:887)(cid:4667)=(cid:883) (cid:882). (cid:890)(cid:887)(cid:885)(cid:883)=(cid:882). (cid:883)(cid:886)(cid:888)(cid:891: what is the probability that the sample mean height for the 40 chimneys is less than 95 meters? (cid:4685)=(cid:4666)(cid:1852)< (cid:884). (cid:888)(cid:886)(cid:4667)=(cid:882). (cid:882)(cid:882)(cid:886)(cid:883) (cid:4666)(cid:1850)
