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Name: Let x be a random variable that represents the hemoglobin count (HC) i
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Description: Let x be a random variable that represents the hemoglobin count (HC) in human blood (measured in grams per milliliter). In healthy adult females, x has an approximately normal distribution with a population mean of μ=14.1μ=14.1, and population standa

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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Let x be a random variable that represents the hemoglobin count (HC) in human blood (measured in grams per milliliter). In healthy adult females, x has an approximately normal distribution with a population mean of μ=14.1μ=14.1, and population standard deviation of σ=0.05σ=0.05. Suppose a female patient had 10 blood tests over the past year, and the sample mean HC was determined to be x¯¯¯=15.7x¯=15.7.

What is the value of the sample test statistic (z)?

What is the P-value of the test?

At a significance level of 0.05, what can we conclude about the HC of the female patient?
We conclude that her HC is ? higher not higher lower than the population average.

Your answers must be accurate to the nearest hundredth.

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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