Answered: variable is normally distributed with…

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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A variable is normally distributed with mean 15 and standard deviation 3.

a. Determine the quartiles of the variable.

b. Obtain and interpret the 90th percentile.

c. Find the value that 65% of all possible values of the variable exceed.

d. Find the two values that divide the area under the corresponding normal curve into a middle area of 0.95 and two outside areas of 0.025. Interpret the answer.

a. Q1=_____ Q2=_____ Q3=______

(Round to two decimal places as needed.)

b. The 90th percentile is__________.

(Round to two decimal places as needed.)

Choose the correct answer below.

A. The 90th percentile is the number that is 90%

of the largest data value.

B. The 90th percentile is the number that occurs in the data 90% of the time.

C. The 90th percentile is the number that divides the bottom 15%

of the data from the top 90% of the data.

D. The 90th percentile is the number that divides the bottom 90%

of the data from the top 15% of the data.

c. The value that 65% of all possible values of the variable exceed is_______.

(Round to two decimal places as needed.)

d. The two values that divide the area under the corresponding normal curve into a middle area of 0.95 and two outside areas of 0.025 are ______
and ______.

(Round to two decimal places as needed. Use ascending order.)

These values enclose the area of the normal curve that is within_____
standard deviations.

(Round to the nearest integer as needed.)

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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