one-sample-mean-inference

# one-sample-mean-inference - Inference for Means(One-Sample...

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January 21, 2012 This example should help with your homework. We will brieﬂy talk about it in class on Monday. An industrial plant claims to discharge no more than 1000 gallons of wastewater per hour, on the average, into a neighborhood lake. An environmental group decides to monitor the plant, in case this limit is being exceeded. Doing so is expensive, and only a small sample is possible. A random sample of four hours is selected over a period of a week. The observations are: 2000, 1000, 3000, 2000. From these data we can ﬁnd ¯ x = 2000 and s = 816 . 5. Key Information From the problem we know that n = 4, ¯ x = 2000, and s = 816 . 5. Also, our “guess” that we’ll be evaluating is μ 0 = 1000. 1 Assumptions We must ﬁrst check if the assumptions are met. Data obtained by randomization? Yes Quantitative response? Yes (number of gallons) Population distribution is approximately normal? Maybe. If the researchers believe it is, then that’s what we’ll go with. 2 Hypotheses

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one-sample-mean-inference - Inference for Means(One-Sample...

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