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, μ , now differs from that given in the textbook. A random sample of 150 healthy adults is evaluated. The mean sodium level for the sample is 136 mEq per liter of blood. It is known that the population standard deviation of adult sodium levels is 13 mEq . Can we conclude, at the 0.10 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 H0 and the alternative hypothesis H1 . H0:μ=139 H1:μ≠139 (b) Determine the type of test statistic to use. ▼Z (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.) and (e) Can we conclude that the population mean adult sodium level differs from that given in the textbook? Yes No

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

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,

, now differs from that given in the textbook. A random sample of

150

healthy adults is evaluated. The mean sodium level for the sample is

136

mEq

per liter of blood. It is known that the population standard deviation of adult sodium levels is

mEq

. Can we conclude, at the

0.10

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 H0 and the alternative hypothesis H1 .
H0:μ=139
H1:μ≠139
(b)	Determine the type of test statistic to use.
	▼Z
(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.)
and
(e)	Can we conclude that the population mean adult sodium level differs from that given in the textbook?
Yes No