Sam scored a 27 on his ACT last back in October. The mean ACT score for his class was 23, with a standard deviation of 2. Assuming a normal (bell- shaped) distribution for students' scores, answer the following: 1) What percentage of students would you expect to have scored higher than Sam? 34 74 330 25/14 2) What percentage of students should have scored between Sam's score -30 13.3 and the mean? 44. 5 2 5% 3) Jessica scored a 21 on the ACT? What percentage of students would you expect to have scored lower than Jessica? 50.0 (34.0)

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2 pu/21
Prersa
Stats RM Proble1
Setil
Sam scored a 27 on his ACT last back in October. The mean ACT score for
his class was 23, with a standard deviation of 2. Assuming a normal (bell-
shaped) distribution for students' scores, answer the following:
1) What percentage of students would you expect to have scored higher than
Sam?
-30
13-3
21 73
34 34 350
25/24
2) What percentage of students should have scored between Sam's score
and the mean?
4800
44. 5
2 5%
4n.
3) Jessica scored a 21 on the ACT? What percentage of students would you
expect to have scored lower than Jessica?
50.0
(34.0)
16.0%
4) What percentage of students would you expect to have scored above 19
on the exam?
5) Troy scored a 25 on the exam. Approximately what percentage of
students scored between Troy's score and the mean?
6) What percentage of students scored below Troy?
Transcribed Image Text:2 pu/21 Prersa Stats RM Proble1 Setil Sam scored a 27 on his ACT last back in October. The mean ACT score for his class was 23, with a standard deviation of 2. Assuming a normal (bell- shaped) distribution for students' scores, answer the following: 1) What percentage of students would you expect to have scored higher than Sam? -30 13-3 21 73 34 34 350 25/24 2) What percentage of students should have scored between Sam's score and the mean? 4800 44. 5 2 5% 4n. 3) Jessica scored a 21 on the ACT? What percentage of students would you expect to have scored lower than Jessica? 50.0 (34.0) 16.0% 4) What percentage of students would you expect to have scored above 19 on the exam? 5) Troy scored a 25 on the exam. Approximately what percentage of students scored between Troy's score and the mean? 6) What percentage of students scored below Troy?
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