gate tv Paste KD Paragraph Styles nsitivity Add-ins Editor 9. Imagine you have a distribution D that has a mean of 12 and a sample standard deviation of 4. Answer the questions that follow. a. What is the z-score of the observation 20 from D? The z-score of the observation 20 from distribution D is 2. I b. What is the z-score of the observation 18 from D? The z-score of the observation 18 from distribution D is 1.5. c. What is the z-score of the observation 8 from D and why is the z-score negative? The z-score of the observation 8 from distribution D is -1. The z-score is negative because the observation 8 is below the mean of the distribution (which is 12) d. Draw a number line model to show why it makes sense that 6 has a z-score of -1.5. e. What does it mean if an observation has a z-score of 0? A z-score of 0 signifies that the observation is at the mean of the distribution. It provides a standardized measure indicating the relative position of the observation within the distribution in terms of standard deviations. f. What does it mean if an observation has a negative z-score? A negative z-score for an observation indicates that the observation is below the mean of the distribution. It provides a standardized measure indicating how much below the mean the ohcarvation is in terms of Page 15 of 18 PR 3110 words Average: 3.36541 x Focus Count: 33 Sum: 100.9623 W CD + + 115% 100%
gate tv Paste KD Paragraph Styles nsitivity Add-ins Editor 9. Imagine you have a distribution D that has a mean of 12 and a sample standard deviation of 4. Answer the questions that follow. a. What is the z-score of the observation 20 from D? The z-score of the observation 20 from distribution D is 2. I b. What is the z-score of the observation 18 from D? The z-score of the observation 18 from distribution D is 1.5. c. What is the z-score of the observation 8 from D and why is the z-score negative? The z-score of the observation 8 from distribution D is -1. The z-score is negative because the observation 8 is below the mean of the distribution (which is 12) d. Draw a number line model to show why it makes sense that 6 has a z-score of -1.5. e. What does it mean if an observation has a z-score of 0? A z-score of 0 signifies that the observation is at the mean of the distribution. It provides a standardized measure indicating the relative position of the observation within the distribution in terms of standard deviations. f. What does it mean if an observation has a negative z-score? A negative z-score for an observation indicates that the observation is below the mean of the distribution. It provides a standardized measure indicating how much below the mean the ohcarvation is in terms of Page 15 of 18 PR 3110 words Average: 3.36541 x Focus Count: 33 Sum: 100.9623 W CD + + 115% 100%
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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Transcribed Image Text:gate
tv
Paste
KD
Paragraph
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nsitivity
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9. Imagine you have a distribution D that has a mean of 12 and a sample standard deviation of 4. Answer
the questions that follow.
a. What is the z-score of the observation 20 from D?
The z-score of the observation 20 from distribution D is 2.
I
b. What is the z-score of the observation 18 from D?
The z-score of the observation 18 from distribution D is 1.5.
c. What is the z-score of the observation 8 from D and why is the z-score negative?
The z-score of the observation 8 from distribution D is -1.
The z-score is negative because the observation 8 is below the mean of the distribution (which is 12)
d. Draw a number line model to show why it makes sense that 6 has a z-score of -1.5.
e. What does it mean if an observation has a z-score of 0?
A z-score of 0 signifies that the observation is at the mean of the distribution. It provides a standardized
measure indicating the relative position of the observation within the distribution in terms of standard
deviations.
f. What does it mean if an observation has a negative z-score?
A negative z-score for an observation indicates that the observation is below the mean of the distribution. It
provides a standardized measure indicating how much below the mean the ohcarvation is in terms of
Page 15 of 18
PR
3110 words
Average: 3.36541
x
Focus
Count: 33 Sum: 100.9623
W
CD
+
+
115%
100%
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