Where did the 1.463 and +- 1.960 came from ?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Where did the 1.463 and +- 1.960 came from ?
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二二二二二二论“中
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D.A.
Grams of protein in 30 random
samples of energy bars
Energy Bar - Grams of Protein
20.15 19.5 20.25 17.8 21.29 20.15
20.16 22.5 25.34 20.18 21.54 21.50
22.14 19.56 21.1 18.04 24.12 20.80
19.72 18.28 17.5 17.46 20.53 22.12
19.6 22.44 19.08 19.88 22.3 19.8
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Summary Statistics
Sample: n = 30
Mode: 20.15
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K
Median: x = 20.17
Mean: x 20.494333
Standard Deviation: s= 1.8498195
Variance s² = 3.4218323,
Significant level: 0.05
Comments 8 = 00
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esign
ayout v
set
ection v
Transitions Animations Slide Show
ta
States) Accessibility: Investigate
BIUab x x, AV Aa
v
3
E
D
$
V
4
R
F
Review View
AAA-E-33✓ | #✓
二二二二二二论“中
%
5
D.A.
Grams of protein in 30 random
samples of energy bars
Energy Bar - Grams of Protein
20.15 19.5 20.25 17.8 21.29 20.15
20.16 22.5 25.34 20.18 21.54 21.50
22.14 19.56 21.1 18.04 24.12 20.80
19.72 18.28 17.5 17.46 20.53 22.12
19.6 22.44 19.08 19.88 22.3 19.8
T
G
stat-Saved to my Mac
Tell me
A
^
6
MacBook Pro
Y
H
&
7
Lo
U
*
8
Convert to
SmartArt
J
Notes
Q
I
- O
Picture Text Box
A
9
V
Shapes v
Summary Statistics
Sample: n = 30
Mode: 20.15
<
K
Median: x = 20.17
Mean: x 20.494333
Standard Deviation: s= 1.8498195
Variance s² = 3.4218323,
Significant level: 0.05
Comments 8 = 00
98-10
Arrange
O
O
Quick
Styles
L
9
I'
-
P
:
Sensitivity
+ 11
{
Share
=
[
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Design
Ideas
+ 103% 53
11
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.
Commem
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Step 1: Test hypothesis
- Null hypothesis - Ho: u = 20
- Alternate hypothesis - Ho: u # 20
• Step 2: Level of significant
- Level of significant: 0.05
Step 3: Select Test statistic
- Using z value
- z = 1.463
●
stat-Saved to my Mac
Step 4: Critical value
- Critical value: +/- 1.960
E
二二二二的。中。
%
5
6
Step 5: Decision
- Reject Ho if z < -1.960 or z> 1.960
- Since 1.463 < 1.960 -> Fail to Reject Ho
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20.16
22.14 19.56
19.72 18.28 17.5
19.6 22.44 19.08 19.88
22.5
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Step 6: Interpret the result
- Fail to reject the null hypothesis that the mean grams of protein is not equal to 20.
- We make a practical conclusion that the labels are correct
Picture Text Box
Notes
Energy Bar - Grams of Protein
19.5 20.25
Shapes
(
9
21.1
17.8 21.29 20.15
25.34 20.18 21.54 21.50
U <
V
Comments
Arrange Quick
Styles
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0
18.04 24.12 20.80
17.46 20.53 22.12
a
22.3 19.8
H 88 9
Share
=
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Sensitivity
S
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Design
Ideas
+ 103%
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Commer
53"
Transcribed Image Text:nsitions. Animations Slide Show Review View Tell me
A A A
3 IUab x x, AV Aa Du Av
V
Accessibility: Investigate
EFF
$
4
●
●
Step 1: Test hypothesis
- Null hypothesis - Ho: u = 20
- Alternate hypothesis - Ho: u # 20
• Step 2: Level of significant
- Level of significant: 0.05
Step 3: Select Test statistic
- Using z value
- z = 1.463
●
stat-Saved to my Mac
Step 4: Critical value
- Critical value: +/- 1.960
E
二二二二的。中。
%
5
6
Step 5: Decision
- Reject Ho if z < -1.960 or z> 1.960
- Since 1.463 < 1.960 -> Fail to Reject Ho
A
E✓ | == ✔
MacBook Pro
&
7
20.15
4B
Convert to
SmartArt
*
8
20.16
22.14 19.56
19.72 18.28 17.5
19.6 22.44 19.08 19.88
22.5
V
Step 6: Interpret the result
- Fail to reject the null hypothesis that the mean grams of protein is not equal to 20.
- We make a practical conclusion that the labels are correct
Picture Text Box
Notes
Energy Bar - Grams of Protein
19.5 20.25
Shapes
(
9
21.1
17.8 21.29 20.15
25.34 20.18 21.54 21.50
U <
V
Comments
Arrange Quick
Styles
)
0
18.04 24.12 20.80
17.46 20.53 22.12
a
22.3 19.8
H 88 9
Share
=
V
Sensitivity
S
T
Design
Ideas
+ 103%
a
Commer
53
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