Which normal distribution should we use to approximate this randomized dotplot? A.N (0.056, 0) B.N (0, -0.131) C.N( -0.131, 0.056) D.N (0, 0.056) Randomization Dotplot of 1-₂ Null Hypothesis: P1 = P2150 Left Tail Two-Tail Right Tailsamples = 1000mean = 0.0011st. dev. = 0.056100500-0.15-0.10-0.050.00null = 00.050.100.15Original SampleGroup CountGroup 1Group 2Group 1--16Group 2SampleSize20 11336 117n/aRandomization SampleSampleSize27 11329117Group CountGroup 1Group 2Group 1-Group 2-2Proportion0.1770.308n/a-0.131Proportion0.2390.248-0.0089

Mean = 0.0011 ≈0 st. dev. = 0.056

Answered: Which normal distribution should we use…

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

Which normal distribution should we use to approximate this randomized dotplot?

A.

N (0.056, 0)

B.

N (0, -0.131)

C.

N( -0.131, 0.056)

D.

N (0, 0.056)

Randomization Dotplot of 1-₂ Null Hypothesis: P1 = P2
150 Left Tail Two-Tail Right Tail
samples = 1000
mean = 0.0011
st. dev. = 0.056
100
50
0
-0.15
-0.10
-0.05
0.00
null = 0
0.05
0.10
0.15
Original Sample
Group Count
Group 1
Group 2
Group 1--16
Group 2
Sample
Size
20 113
36 117
n/a
Randomization Sample
Sample
Size
27 113
29
117
Group Count
Group 1
Group 2
Group 1-
Group 2
-2
Proportion
0.177
0.308
n/a
-0.131
Proportion
0.239
0.248
-0.0089

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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