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 of the test statistic. (Round to three or more decimal places.) (d) Find the two citical 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?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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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
Transcribed Image 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
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