A laboratory claims that the mean sodium level,
μ
, of a healthy adult is
138
mEq per liter of blood. To test this claim, a random sample of
50
adult patients is evaluated. The mean sodium level for the sample is
135
mEq per liter of blood. It is known that the population standard deviation of adult sodium levels is
15
mEq. Can we conclude, at the
0.01
level of significance, that the population mean adult sodium level differs from that claimed by the laboratory?
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