Math, asked by pvpriyad0709, 2 months ago

Alice works at a health care facility. She has measured the hemoglobin levels of 200 people. The data follows a normal distribution with a mean of 14 g/dL and a standard deviation of 1. From the given data, we can conclude that about people have hemoglobin levels less than 13, and about people have hemoglobin levels greater than 14.

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Answered by Ikonikscenario7122
0

Answer:  

This question is designed to see how well you understand the concepts related to a Normal Distribution.

Many times when we sample a large body of data (say the hemoglobin levels of 200 people) we find that it follows the pattern of a "bell curve" which in Statistics is called a Normal Distribution. This means that if I plot the hemoglobin level on the x-axis and the number of people on the y-axis, I will get a bell-shaped curve with the peak of the "bell" located at the mean value (hemoglobin 10).

The "standard deviation" of a Normal curve measures how spread out the bell - shape is. A larger Standard Deviation means a shorter broader curve, and a smaller Standard Deviation means a taller, narrower curve.

The properties of a Normal Distribution tell us the following things :

About half of the people have a hemoglobin greater than the mean value, and about half have a hemoglobin less that the mean value (the Normal curve is symmetric)

About 68% of the people have a hemoglobin level within one Standard Deviation of the mean,  that means that 68% of the 200 people will have a hemoglobin level between 9 and 11.

68% of 200 is 136 people. That means that everybody else, or 64 people, have either a hemoglobin less than 9 or greater than 11. AND since our distribution is symmetric, half of these people will have less than 9 and half will have more than 11.

This means 32 people have a hemoglobin less than 9.

A great website to review these topics is

Www.mathisfun.com/data/standard-normal-distribution.html

Hope this helps!

Step-by-step explanation:

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