Answered: A laboratory claims that the mean…

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

A laboratory claims that the mean sodium level,

, of a healthy adult is

141

mEq per liter of blood. To test this claim, a random sample of

adult patients is evaluated. The mean sodium level for the sample is

142

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

mEq. Can we conclude, at the

0.05

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.

The null hypothesis:	H0:
The alternative hypothesis:	H1:
The type of test statistic:	(Choose one)ZtChi squareF

The value of the test statistic: (Round to at least three decimal places.)
The two critical values at the 0.05 level of significance: (Round to at least three decimal places.)	and
Can we conclude that the population mean adult sodium level differs from that claimed by the laboratory?	Yes	No

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