For numbers 6-10, refer to the following problem. The time it takes for Grade 11 students in a certain school to complete a physical fitness test is normally distributed with mean 15 minutes and a standard deviation of 4 minutes. 6. What is the corresponding z-score of 12.5 minutes? A. 0.63 В. 0.62 C.-0.62 D. -0.63 7. What is the probability that a student completes the physical fitness in less than 14 minutes? A. 40.52% В. 40.13% C. 39.74% D. 39.36% 8. What is the longest time to complete the test of a student whose time belongs to the middle 60% of all recorded times? A. 11.64 min В. 16 min C. 17.53 min D. 18.36 min 9. If the students who get the fastest 5% completion times will be exempted from the additional gym workout session, what is the slowest time that a student can have to qualify for the exemption? A. 8.40 min B. 8.42 min C. 8.44 min D. 8.46 min 10. What is the fastest completion time of the students who belong to the longest 25% of all completion times? A. 17.68 min В. 17.66 min C. 17.64 min D. 17.62 min
For numbers 6-10, refer to the following problem. The time it takes for Grade 11 students in a certain school to complete a physical fitness test is normally distributed with mean 15 minutes and a standard deviation of 4 minutes. 6. What is the corresponding z-score of 12.5 minutes? A. 0.63 В. 0.62 C.-0.62 D. -0.63 7. What is the probability that a student completes the physical fitness in less than 14 minutes? A. 40.52% В. 40.13% C. 39.74% D. 39.36% 8. What is the longest time to complete the test of a student whose time belongs to the middle 60% of all recorded times? A. 11.64 min В. 16 min C. 17.53 min D. 18.36 min 9. If the students who get the fastest 5% completion times will be exempted from the additional gym workout session, what is the slowest time that a student can have to qualify for the exemption? A. 8.40 min B. 8.42 min C. 8.44 min D. 8.46 min 10. What is the fastest completion time of the students who belong to the longest 25% of all completion times? A. 17.68 min В. 17.66 min C. 17.64 min D. 17.62 min
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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Topic Video
Question
Answer 6, 9 & 10
Transcribed Image Text:For numbers 6-10, refer to the following problem. The time it takes for Grade 11 students in a certain
school to complete a physical fitness test is normally distributed with mean 15 minutes and a standard
deviation of 4 minutes.
6. What is the corresponding z-score of 12.5 minutes?
A. 0.63
B. 0.62
C.-0.62
D.-0.63
7. What is the probability that a student completes the physical fitness in less than 14 minutes?
A. 40.52%
B. 40.13%
C. 39.74%
D. 39.36%
8. What is the longest time to complete the test of a student whose time belongs to the middle
60% of all recorded times?
A. 11.64 min
B. 16 min
C. 17.53 min
D. 18.36 min
9. If the students who get the fastest 5% completion times will be exempted from the additional
gym workout session, what is the slowest time that a student can have to qualify for the
exemption?
A. 8.40 min
B. 8.42 min
C. 8.44 min
D. 8.46 min
10. What is the fastest completion time of the students who belong to the longest 25% of all
completion times?
A. 17.68 min
B. 17.66 min
C. 17.64 min
D. 17.62 min
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