A laboratory claims that the mean sodium level, u, of a healthy adult is 140 mEq per liter of blood. To test this claim, a random sample of 150 adult patients is evaluated. The mean sodium level for the sample is 139 mEq per liter of blood. It is known that the population standard deviation of adult sodium levels is 12 mEq. 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 fill in the table below. Carry your intermediate computations to at least three decimal places, and round your responses as specified in the table. (If necessary, consult a list of formulas.) Н The null hypothesis: х The alternative :|| hypothesis: D=0 ロSロ The type of test statistic: (Choose one) ロロ OO The value of the test statistic: (Round to at least three decimal places.) The two critical values at the 0.05 level of | and || significance: (Round to at least three decimal places.) Can we conclude that the population mean adult sodium level differs from that claimed O Yes O No by the laboratory?

MATLAB: An Introduction with Applications
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A laboratory claims that the mean sodium level, u, of a healthy adult is 140 mEq per liter of blood. To test
this claim, a random sample of 150 adult patients is evaluated. The mean sodium level for the sample is 139
mEq per liter of blood. It is known that the population standard deviation of adult sodium levels is 12 mEq.
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 fill in the table below.
Carry your intermediate computations to at least three decimal places, and round your responses as
specified in the table. (If necessary, consult a list of formulas.)
Н
The null hypothesis:
х
The alternative
:||
hypothesis:
D=0
ロSロ
The type of test statistic:
(Choose one)
ロロ
O<O
O>O
The value of the test
statistic:
(Round to at least three
decimal places.)
The two critical values at
the 0.05 level of
| and ||
significance:
(Round to at least three
decimal places.)
Can we conclude that the population mean
adult sodium level differs from that claimed
O Yes
O No
by the laboratory?
Transcribed Image Text:A laboratory claims that the mean sodium level, u, of a healthy adult is 140 mEq per liter of blood. To test this claim, a random sample of 150 adult patients is evaluated. The mean sodium level for the sample is 139 mEq per liter of blood. It is known that the population standard deviation of adult sodium levels is 12 mEq. 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 fill in the table below. Carry your intermediate computations to at least three decimal places, and round your responses as specified in the table. (If necessary, consult a list of formulas.) Н The null hypothesis: х The alternative :|| hypothesis: D=0 ロSロ The type of test statistic: (Choose one) ロロ O<O O>O The value of the test statistic: (Round to at least three decimal places.) The two critical values at the 0.05 level of | and || significance: (Round to at least three decimal places.) Can we conclude that the population mean adult sodium level differs from that claimed O Yes O No by the laboratory?
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