Answered: Can we conclude at the 0.01 level of…

Name: A laboratory claims that the mean sodium level of a healthy adult male
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Description: 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 kno

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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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

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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