Can we conclude at the 0.01 level of significance that three 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 male is 142 mEq per liter of blood. To test this claim, a random sample of 26 adultspatients 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 11 mEq. Assume that the population is normally distributed. Can we conclude at the 0.01 level of significance that three population mean adult sodium level differs from that claimed by the laboratory? 

Perform a two tailed test, then complete the parts below.

(a) State the null hypothesis H, and the alternative hypothesis H,.
H.
H :
(b) Determine the type of test statistic to use.
(Choose one) ▼
(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 claimed by the laboratory?
OYes ONo
Transcribed Image Text:(a) State the null hypothesis H, and the alternative hypothesis H,. H. H : (b) Determine the type of test statistic to use. (Choose one) ▼ (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 claimed by the laboratory? OYes ONo
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