Question 19 Lucille, Rocio, and Cristina are all taking College Mathematics but from different professors. They all recently took a statistics exam and the exam scores were normally distributed in each of their classes. Lucille's class had an average grade of 77 and the standard deviation was 4. Lucille earned 84.2 on the exam. • Rocio's class had an average grade of 85 and the standard deviation was 3. Rocio earned 85.6 on the exam. Cristina's class had an average grade of 85 and the standard deviation was 5. Cristina earned 91.5 on the exam. Since some professors give harder exams than others, these students decided to use statistics to figure out who did the best on their exam. Use the Cumulative Z-Score Table to answer the following questions. Write your answers as a percent with two decimal places. Hint • Lucille's score places her above % of her class. Rocio's score places her above % of her class. % of her class. • Cristina's score places her above Which person has the highest relative standing in their class? Select an answer Z-Score Table OVideo 2 essage instructorn
Question 19 Lucille, Rocio, and Cristina are all taking College Mathematics but from different professors. They all recently took a statistics exam and the exam scores were normally distributed in each of their classes. Lucille's class had an average grade of 77 and the standard deviation was 4. Lucille earned 84.2 on the exam. • Rocio's class had an average grade of 85 and the standard deviation was 3. Rocio earned 85.6 on the exam. Cristina's class had an average grade of 85 and the standard deviation was 5. Cristina earned 91.5 on the exam. Since some professors give harder exams than others, these students decided to use statistics to figure out who did the best on their exam. Use the Cumulative Z-Score Table to answer the following questions. Write your answers as a percent with two decimal places. Hint • Lucille's score places her above % of her class. Rocio's score places her above % of her class. % of her class. • Cristina's score places her above Which person has the highest relative standing in their class? Select an answer Z-Score Table OVideo 2 essage instructorn
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Transcribed Image Text:Question 19
Lucille, Rocio, and Cristina are all taking College Mathematics but from different professors. They all
recently took a statistics exam and the exam scores were normally distributed in each of their classes.
• Lucille's class had an average grade of 77 and the standard deviation was 4. Lucille earned 84.2
on the exam.
Rocio's class had an average grade of 85 and the standard deviation was 3. Rocio earned 85.6 on
the exam.
Cristina's class had an average grade of 85 and the standard deviation was 5. Cristina earned
91.5 on the exam.
Since some professors give harder exams than others, these students decided to use statistics to figure out
who did the best on their exam.
Use the Cumulative Z-Score Table to answer the following questions. Write your answers as a percent with
two decimal places. Hint
• Lucille's score places her above
% of her class.
% of her class.
Rocio's score places her above
% of her class.
• Cristina's score places her above
Which person has the highest relative standing in their class? Select an answer
Z-Score Table
Question Help: Video 1 Ovideo 2 M essage tnstructen
Transcribed Image Text:Module 3 Statistics
Cumulathve Z-Score Table
Z-Score
Area
Z-Score
Area
Z-Score
Area
Z-Score
Area
-4.0
0.00003
-1.0
0.1587
0.0
0.5000
1.1
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
1.6
0.9452
-2.6
0.0047
-0.70
0.2420
0.30
0.6179
1.7
0.9554
-2.5
0.0062
-0.65
0.2578
0.35
0.6368
1.8
0.9641
-2.4
0.0082
-0.60
0.2743
0.40
0.6554
1.9
0.9713
-2.3
0.0107
-0.55
0.2912
0.45
0.6736
2.0
0.9772
-2.2
0.0139
-0.50
0.3085
0.50
0.6915
2.1
0.9821
-2.1
0.0179
-0.45
0.3264
0.55
0.7088
2.2
0.9861
-2.0
0.0228
-0.40
0.3446
0.60
0.7257
2.3
0.9893
-1.9
0.0287
-0.35
0.3632
0.65
0.7422
2.4
0.9918
-1.8
0.0359
-0.30
0.3821
0.70
0.7580
2.5
0.9938
-1.7
0.0446
-0.25
0.4013
0.75
0.7734
2.6
0.9953
-1.6
0.0548
-0.20
0.4207
0.80
0.7881
2.7
0.9965
-1.5
0.0668
-0.15
0,4404
0.85
0,8023
2.8
0.9974
-1.4
0.0808
-0.10
0.4602
0.90
0.8159
2.9
0.9981
-1.3
0.0968
0.05
0.4801
0.95
0.8289
3.0
0.9987
-1.2
0.1151
0.0
5000
1.0
0.8413
3.5
0.9998
4.0
0.9997
-1.1
0.1357
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