Answered: Suppose that the hemoglobin levels…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 7PPS

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Question

Suppose that the hemoglobin levels among healthy females are normally distributed with a mean of 14.2 gmdL. Research shows that exactly

95% of healthy females have a hemoglobin level below 15.8 gmdL

. What is the standard deviation of the distribution of hemoglobin levels in healthy females? Carry your intermediate computations to at least four decimal places. Round your answer to at least two decimal places.

_ gmdL?=

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.

Expert Solution

Step 1

From the provided information,

Mean (µ) = 14.2

Let X be a random variable which represents the haemoglobin levels among healthy female.

X~N (14.2, σ)

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