Answered: Suppose the lengths of human…

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter87: An Introduction To G- And M-codes For Cnc Programming

Section: Chapter Questions

Problem 9A

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Question

Suppose the lengths of human pregnancies are normally distributed with μ=266 days and σ=16 days. Complete parts (a) and (b) below.

A) The figure to the right represents the normal curve with μ=266 days and σ=16 days. The area to the left of X=250
is 0.1587. Provide two interpretations of this area.

Provide one interpretation of the area using the given values

Provide a second interpretation of the area using the given value

b) The figure to the right represents the normal curve with μ=266 days and σ=16 days. The area between

x=230 and x=280 is 0.7970. Provide two interpretations of this area.

Provide one interpretation of the area using the given values.

Provide a second interpretation of the area using the given values

(Type integers or decimals. Use ascending order.)

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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