A laboratory claims that the mean sodium level, H, of a healthy adult is 141 mEq per liter of blood. To test this claim, a random sample of 16 ac 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 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 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 lis 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) OSO (c) Find the value of the test statistic. (Round to three or more decimal places.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section: Chapter Questions
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A laboratory claims that the mean sodium level, H, of a healthy adult is 141 mEq per liter of blood. To test this daim, a random sample of 16 adul
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 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 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
formulas.)
(a) State the null hypothesis H, and the alternative hypothesis H,.
Ho :미
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.)
(d) Find the two critical values. (Round to three or more decimal places.)
O and I
(e) Can we conclude that the population mean adult sodium level differs from
that claimed by the laboratory?
O Yes ONo
Transcribed Image Text:A laboratory claims that the mean sodium level, H, of a healthy adult is 141 mEq per liter of blood. To test this daim, a random sample of 16 adul 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 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 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 formulas.) (a) State the null hypothesis H, and the alternative hypothesis H,. Ho :미 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.) (d) Find the two critical values. (Round to three or more decimal places.) O and I (e) Can we conclude that the population mean adult sodium level differs from that claimed by the laboratory? O Yes ONo
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