Answered: The normal quantile plot shown to the…

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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Question

The normal quantile plot shown to the right represents duration times (in seconds) of eruptions of a certain geyser from the accompanying data set. Examine the normal quantile plot and determine whether it depicts sample data from a population with a normal distribution.

Data Table

Duration (sec)
252		250
215		225
128		245
263		240
247		269
292		243
272		110
240		261
233		252
255		252
257		245
236		234
274		282
178		255
268		252
288		256
271		250
239		274
251		268
255		237

The normal quantile plot shown to the right represents duration times (in
seconds) of eruptions of a certain geyser from the accompanying data set.
Examine the normal quantile plot and determine whether it depicts sample data
from a population with a normal distribution.
Click the icon to view the data set.
Choose the correct answer below.
3.00-
2.00-
1.00-
0.00-
-1.00-
-2.00-
-3.00+
100
150
200
X Value
250
300
OA. The distribution is not normal. The points are not reasonably close to a straight line.
OB. The distribution is normal. The points show a systematic pattern that is not a straight-line pattern.
OC. The distribution is normal. The points are reasonably close to a straight line and do not show a systematic pattern that is not a
straight-line pattern.
OD. The distribution is not normal. The points do not show any systematic pattern.

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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