Suppose the Environmental Protection Agency is in the process of monitoring the water

Chapter 6, Problem 20

(choose chapter or problem)

Suppose the Environmental Protection Agency is in the process of monitoring the water quality in a large estuary in the eastern United States, in order to measure the PCB concentration (in parts per billion).


a. Suppose that a random sample of size 80 has a sample mean of
 and a sample standard deviation of . Test the hypothesis, at the  level, that the mean PCB concentration in the estuary is less than or equal to  against the alternative that it is higher. Is \(H_{0}\) rejected?


b. If the population mean is
 and the population standard deviation is , what is the probability that the null hypothesis \(H_{0}: \mu \leq 1.50\) is rejected at the  level, if the sample size is


c. If the population mean is
 and the population standard deviation is , what sample size is needed so that the probability is  that \(H_{0}: \mu \leq 1.50\) is rejected at the  level?

Equation Transcription:

Text Transcription:

H_0

H_0:mu{</=}1.50

H_0:mu{</=}1.50

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