The area beneath the normal density curve is separated into three regions by the values a and b. Set the mean of the normal density curve to 6.3, the standard deviation to 0.8, and the x-value of b to 6.6. First, determine the value of the area to the right of b. Area right of b = Place a so that it equally divides the area to the left of b. What is the x-value of a? x-value of a = ||

The area beneath the normal density curve is separated into three regions by the values a and b. Set the mean of the normal density curve to 6.3, the standard deviation to 0.8, and the x-value of b to 6.6. First, determine the value of the area to the right of b. Area right of b = Place a so that it equally divides the area to the left of b. What is the x-value of a? x-value of a = ||

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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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

Refer to the Sapling Learning Normal Density Curves Interactive.
The area beneath the normal density curve is separated into three regions by the values a and b. Set the mean of the
normal density curve to 6.3, the standard deviation to 0.8, and the x-value of b to 6.6. First, determine the value of the area
to the right of b.
Area right of b =
Place a so that it equally divides the area to the left of b. What is the x-value of a?
x-value of a =||

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The Z-score tells you the number of standard deviations away from the mean (and in what direction) a data value is. The formula: Z = *- can be used to find the Z-score for a single member of the population. Notice X - μ tells you the signed distance the data value (X) is from the mean. When you divide that by the size of each chunk (the standard deviation) you are measuring the distance in units of the size of the standard deviations (how many standard deviations fit in the distance between the data value and the mean) - which gives you the Z-score. The formula X = μ+Z.o can be used to find the value in the population when given the Z-score (signed number of standard deviations). Notice that Z. tells you how far from the mean the data value is (since Z is the number of standard deviations and is the size of each standard deviation the product tells the total distance). So adding the distance from the mean to the mean gives the location along the number line for the data value. A…