A laboratory claims that the mean sodium level, of a healthy adult is 139 mEg per liter of blood. To test this claim, a random sample of 70 adult patients is evaluated. The mean sodium level for the...


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A laboratory claims that the mean sodium level,<br>of a healthy adult is 139 mEg per liter of blood. To test<br>this claim, a random sample of 70 adult patients is<br>evaluated. The mean sodium level for the sample<br>is 134 mEq per liter of blood. It is known that the<br>population standard deviation of adult sodium<br>levels is 15 mEg. Can we conclude, at the 0.0s level of<br>significance, that the population mean adult<br>sodium level differs from that claimed by the<br>laboratory?<br>Perform a two-tailed test. Then complete the<br>parts below.<br>Carry your intermediate computations to three or<br>more decimal places, and round your responses<br>as specified below. (If necessary, consult a list of<br>formulas.)<br>(a) State the null hypothesis H, and the alternative hypothesis H .<br>H, :0<br>H, :0<br>(b) Determine the type of test statistic to use.<br>(Choose one) v<br>D=0<br>OSO<br>(c) Find the value<br>the test statistic. (Round to three or more decimal places.)<br>(d) Find the two critical values. (Round to three or more decimal places.)<br>Dand)<br>(e) Can we conclude that the population mean adult sodium level differs from that claimed<br>by the laboratory?<br>OYes ONo<br>olo<br>

Extracted text: A laboratory claims that the mean sodium level, of a healthy adult is 139 mEg per liter of blood. To test this claim, a random sample of 70 adult patients is evaluated. The mean sodium level for the sample is 134 mEq per liter of blood. It is known that the population standard deviation of adult sodium levels is 15 mEg. Can we conclude, at the 0.0s level of significance, that the population mean adult sodium level differs from that claimed by the laboratory? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H . H, :0 H, :0 (b) Determine the type of test statistic to use. (Choose one) v D=0 OSO (c) Find the value the test statistic. (Round to three or more decimal places.) (d) Find the two critical values. (Round to three or more decimal places.) Dand) (e) Can we conclude that the population mean adult sodium level differs from that claimed by the laboratory? OYes ONo olo

Jun 11, 2022
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