A problem that occurs with certain types of mining is that some by-products tend to be mildly

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A problem that occurs with certain types of mining is that some by-products tend to be mildly radioactive and these products sometimes get into our fresh water supply. The EPA has issued regulations concerning a limit on the amount of radioactivity in supplies of drinking water. Particularly, the maximum level for naturally occurring radiation is 5 picocuries per liter of water. A random sample of 24 water specimens from a city’s water supply produced the sample statistics y̅ = 4.61 picocuries per liter and s  = .87picocurie per liter.

a. Do these data provide sufficient evidence to indicate that the mean level of radiation is safe (below the maximum level set by the EPA)? Test using α = .01.

b. Why should you want to use a small value of a for the test in part a?

c. Calculate the value of b for the test if μa = 4.5 picocuries per liter of water.

d. Calculate and interpret the p-value for the test.

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Statistics For Engineering And The Sciences

ISBN: 9781498728850

6th Edition

Authors: William M. Mendenhall, Terry L. Sincich

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