A laboratory claims that the mean sodium level, u, of a healthy adult is 141 mEq per liter of blood. To test this claim, a random sample of 48 adult patients is evaluated. The mean sodlum level for the sample is 136 mEq per liter of blood. It is known that the population standard devlation of adult sodilum levels is 13 mEq. Assume that the population is normally distributed. Can we conclude, at the 0.05 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.)

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A laboratory claims that the mean sodium level, u, of a healthy adult is 141 mEg per liter of blood. To test this claim, a random sample of 48 adult patients is
evaluated. The mean sodium level for the sample is 136 mEq per liter of blood. It is known that the population standard devlation of adult sodilum levels is 13
mEq. Assume that the population is normally distributed. Can we conclude, at the 0.05 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) ▼
D=0
OSO
(c) Find the value of the test statistic. (Round to three or more decimal places.)
O<O
(d) Find the two critical values. (Round to three or more decimal places.)
O and
(e) Can we conclude that the population méan adult sodium level differs from
that claimed by the laboratory?
OYes ONo
Transcribed Image Text:A laboratory claims that the mean sodium level, u, of a healthy adult is 141 mEg per liter of blood. To test this claim, a random sample of 48 adult patients is evaluated. The mean sodium level for the sample is 136 mEq per liter of blood. It is known that the population standard devlation of adult sodilum levels is 13 mEq. Assume that the population is normally distributed. Can we conclude, at the 0.05 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) ▼ D=0 OSO (c) Find the value of the test statistic. (Round to three or more decimal places.) O<O (d) Find the two critical values. (Round to three or more decimal places.) O and (e) Can we conclude that the population méan adult sodium level differs from that claimed by the laboratory? OYes ONo
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