A variable is normally distributed with mean 32 and standard deviation 12. Use the Cumulative Z-Score Table to answer the following questions. Write your answers in decimal form using 4 decimal places. a) Find the area under the normal curve to the left of the data value 16.4. b) Find the area under the normal curve to the left of the data value 52.4. c) Find the area under the normal curve to the right of the data value 27.2. d) Find the area under the normal curve to the right of the date value 37.4, e) Find the area under the normal curve between the data values 37.4 and 52.4.
A variable is normally distributed with mean 32 and standard deviation 12. Use the Cumulative Z-Score Table to answer the following questions. Write your answers in decimal form using 4 decimal places. a) Find the area under the normal curve to the left of the data value 16.4. b) Find the area under the normal curve to the left of the data value 52.4. c) Find the area under the normal curve to the right of the data value 27.2. d) Find the area under the normal curve to the right of the date value 37.4, e) Find the area under the normal curve between the data values 37.4 and 52.4.
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
![Module 3 Statistics
Cumulative Z-Score Table
Z-Score
Area
Z-Score
Area
Z-Score
Area
Z-Score
Area
-4.0
Ö:00003
-1.0
0.1587
0.0
0.5000
11
0.8643
3.5
0.0002
-0.95
0.1711
0.05
0.5199
1.2
0.8849
-3.0
0.0013
-0.90
0.1841
0.10
0.5398
1.3
0.9032
-2.9
0.0019
-0.85
0.1977
0.15
0.5596
1.4
0.9192
-2.8
0.0026
-0.80
0.2119
0.20
0.5793
1.5
0.9332
-2.7
0.0035
-0.75
0.2266
0.25
0.5987
16
0.9452
0.0047
-0.70
0.2420
0.30
0.6179
1.7
0.9554
-2.6
-0.65
0.2578
0.35
0.6368
18
0.9641
-2.5
0.0062
-0.60
0.2743
0.40
0.6554
1.9
0.9713
-2.4
0.0082
0.2912
0.45
0.6736
2.0
0.9772
-2.3
0.0107.
-0.55
0.50
0.3085
0.50
0.6915
2.1
0.9821
-2.2
0.0139
-0.45
0.3264
0.55
0.7088
2.2
0.9861
-2.1
0.0179
0.60
0.7257
2.3
0.9893
0.40
0.3446
-2.0
0.0228
0.65
0.7422
2.4
0.9918
0.0287
0.35
0.3632
-1.9
0.70
0.7580
2.5
0.9938
-1.8
0.0359
-0.30
0.3821
0.75
0.7734
2.6
0.9953
0.0446
-0.25
0.4013
-1.7
0.80
0.7881
2.7
0.9965
0.0548
0.20
0.4207
-1.6
2.8
0.9974
0.4404
0.85
0.8023
-15
0.0668
0.15
0.8159
2.9
0.9981
0.10
0.4602
0.90
-1-4
0.0808
0.8289
3.0
0.9987
-0.05
0.4801
0.95
1.3
0.0968
0.9998
1.0
0.8413
3.5
0.0
5000
-1.2
0.1151
0.9997
4.0
-11
0.1357
Page](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff8703e3e-9eb4-4c47-a58f-2fecf5a670af%2Fc887f5a8-ef9d-4199-8f4e-aed1a49f1d88%2Fa9wbo3k_processed.png&w=3840&q=75)
Transcribed Image Text:Module 3 Statistics
Cumulative Z-Score Table
Z-Score
Area
Z-Score
Area
Z-Score
Area
Z-Score
Area
-4.0
Ö:00003
-1.0
0.1587
0.0
0.5000
11
0.8643
3.5
0.0002
-0.95
0.1711
0.05
0.5199
1.2
0.8849
-3.0
0.0013
-0.90
0.1841
0.10
0.5398
1.3
0.9032
-2.9
0.0019
-0.85
0.1977
0.15
0.5596
1.4
0.9192
-2.8
0.0026
-0.80
0.2119
0.20
0.5793
1.5
0.9332
-2.7
0.0035
-0.75
0.2266
0.25
0.5987
16
0.9452
0.0047
-0.70
0.2420
0.30
0.6179
1.7
0.9554
-2.6
-0.65
0.2578
0.35
0.6368
18
0.9641
-2.5
0.0062
-0.60
0.2743
0.40
0.6554
1.9
0.9713
-2.4
0.0082
0.2912
0.45
0.6736
2.0
0.9772
-2.3
0.0107.
-0.55
0.50
0.3085
0.50
0.6915
2.1
0.9821
-2.2
0.0139
-0.45
0.3264
0.55
0.7088
2.2
0.9861
-2.1
0.0179
0.60
0.7257
2.3
0.9893
0.40
0.3446
-2.0
0.0228
0.65
0.7422
2.4
0.9918
0.0287
0.35
0.3632
-1.9
0.70
0.7580
2.5
0.9938
-1.8
0.0359
-0.30
0.3821
0.75
0.7734
2.6
0.9953
0.0446
-0.25
0.4013
-1.7
0.80
0.7881
2.7
0.9965
0.0548
0.20
0.4207
-1.6
2.8
0.9974
0.4404
0.85
0.8023
-15
0.0668
0.15
0.8159
2.9
0.9981
0.10
0.4602
0.90
-1-4
0.0808
0.8289
3.0
0.9987
-0.05
0.4801
0.95
1.3
0.0968
0.9998
1.0
0.8413
3.5
0.0
5000
-1.2
0.1151
0.9997
4.0
-11
0.1357
Page
![A variable is normally distributed with mean 32 and standard deviation 12.
Use the Cumulative Z-Score Table to answer the following questions.
Write your answers in decimal form using 4 decimal places.
a) Find the area under the normal curve to the left of the data value 16.4.
b) Find the area under the normal curve to the left of the data value 52.4.
c) Find the area under the normal curve to the right of the data value 27.2.
d) Find the area under the normal curve to the right of the date value 37.4,
e) Find the area under the normal curve between the data values 37.4 and 52.4.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff8703e3e-9eb4-4c47-a58f-2fecf5a670af%2Fc887f5a8-ef9d-4199-8f4e-aed1a49f1d88%2Fafe4t7g_processed.png&w=3840&q=75)
Transcribed Image Text:A variable is normally distributed with mean 32 and standard deviation 12.
Use the Cumulative Z-Score Table to answer the following questions.
Write your answers in decimal form using 4 decimal places.
a) Find the area under the normal curve to the left of the data value 16.4.
b) Find the area under the normal curve to the left of the data value 52.4.
c) Find the area under the normal curve to the right of the data value 27.2.
d) Find the area under the normal curve to the right of the date value 37.4,
e) Find the area under the normal curve between the data values 37.4 and 52.4.
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