Answered: Consider the normal distribution…

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter40: Signed Numbers

Section: Chapter Questions

Problem 4A

See similar textbooks

Related questions

Concept explainers

Question

Consider the normal distribution represented by the normal curve in the figure to the right. (Assume the two labeled values are equidistant from the mean.) Complete parts (a) and (b) below.

A normal curve is over a horizontal axis and is centered at the mean. Vertical line segments extend from the horizontal axis to the curve at 80.6, the mean, and 99.4, where 80.6 is to the left of the mean and 99.4 is to the right of the mean. The area under the curve between 80.6 and 99.4 is shaded and contains 95 percent of the data.80.699.4

(a) Find the mean

and standard deviation

of the distribution.

μ=nothing

cm (Simplify your answer.)

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

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions