An old medical textbook states that the mean sodium level for healthy adults is 139 mEq per liter of blood. A medical researcher believes that, because of modern dietary habits, the mean sodium level for healthy adults, H, now differs from that given in the textbook. A random sample of 22 healthy adults 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 11 mEq. Assume that the population is normally distributed. Can we conclude, at the 0.01 level of significance, that the population mean adult sodium level differs from that given in the textbook? 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 O=0 OSO (c) Find the value of the test statistic. (Round to three or more decimal places.) ? (d) Find the two critical values. (Round to three or more decimal places.) Dand 0 (e) Can we conclude that the population mean adult sodium level differs from that given in the textbook? O Yes O No

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An old medical textbook states that the mean sodium level for healthy adults is 139 mEq per liter of blood. A medical researcher believes that, because of
modern dietary habits, the mean sodium level for healthy adults, H, now differs from that given in the textbook. A random sample of 22 healthy adults 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 11
mEq. Assume that the population is normally distributed. Can we conclude, at the 0.01 level of significance, that the population mean adult sodium level differs
from that given in the textbook?
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
O=0
OSO
(c) Find the value of the test statistic. (Round to three or more decimal places.)
?
(d) Find the two critical values. (Round to three or more decimal places.)
Dand 0
(e) Can we conclude that the population mean adult sodium level differs from
that given in the textbook?
O Yes O No
Transcribed Image Text:An old medical textbook states that the mean sodium level for healthy adults is 139 mEq per liter of blood. A medical researcher believes that, because of modern dietary habits, the mean sodium level for healthy adults, H, now differs from that given in the textbook. A random sample of 22 healthy adults 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 11 mEq. Assume that the population is normally distributed. Can we conclude, at the 0.01 level of significance, that the population mean adult sodium level differs from that given in the textbook? 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 O=0 OSO (c) Find the value of the test statistic. (Round to three or more decimal places.) ? (d) Find the two critical values. (Round to three or more decimal places.) Dand 0 (e) Can we conclude that the population mean adult sodium level differs from that given in the textbook? O Yes O No
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