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# lecture18 - Practice for Exam II I Finish the small-sample...

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Unformatted text preview: Practice for Exam II I Finish the small-sample testing I Exam II format I Topics review Small-Sample test of hypothesis about μ I One sided test 1. H : μ = μ 2. H a : μ < μ (or H a : μ > μ ) 3. Test statistic: t = ¯ x- μ s / √ n 4. Rejection region: t <- t α I Two-tailed test 1. H : μ = μ 2. H a : μ 6 = μ 3. Test statistic: t = ¯ x- μ s / √ n 4. Rejection region: t <- t α/ 2 or t > t α/ 2 One example I In the text there is a water-quality monitoring experiment, where the goal is to watch whether the pH value measured in the drinking water would fall below 7.0, which is considered dangerous to human health. One water-treatment plant has a target pH of 8.5, but only collected 17 water samples, can you test the claim? Note: for these 17 water samples, it is known ¯ x = 8 . 42 , s = . 16 . I Solution: On page 372-373 of the textbook. One more exercise I A car manufacturer wants to test a new engine to determine whether it meets new air pollution standards. The mean emission μ of all engines of this type must be less than 20 parts per million of carbon. Ten engines are manufactured for testing purposes, and the emission level of each is determined. The data (in parts per million) are listed below. 15.6 16.2 22.5 20.5 16.4 19.4 19.6 17.9 12.7 14.9 Do the data supply sufficient evidence to allow the manufacturer to conclude that this type of engine meets the population standard? Assume that the manufacturer is willing to risk a Type I error with probability α = . 01. Exam II...
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## This note was uploaded on 06/06/2011 for the course STAT 515 taught by Professor Zhao during the Spring '10 term at South Carolina.

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lecture18 - Practice for Exam II I Finish the small-sample...

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