1. A college professor teaches Chemistry 101 each fall to a large class of first-year students. For tests, she uses standardized exams that she knows from past experience produce normal distributions of scores, with a mean of 70 and a standard deviation of 12. a. Her philosophy of grading is to impose standards that will yield, in the long run, 14% A's, 20% B's, 32% C's, 20% D's and 14% F's. Where should the cutoff be between the A's and the B's? Between the B's and the C's? b. According to reference tables, will a standard normal distribution have any points above 2.5? How does that translate to the distribution of scores? c. What share of points in a standard normal distribution are below -4? What does that imply for the distribution of scores?
1. A college professor teaches Chemistry 101 each fall to a large class of first-year students. For tests, she uses standardized exams that she knows from past experience produce normal distributions of scores, with a mean of 70 and a standard deviation of 12. a. Her philosophy of grading is to impose standards that will yield, in the long run, 14% A's, 20% B's, 32% C's, 20% D's and 14% F's. Where should the cutoff be between the A's and the B's? Between the B's and the C's? b. According to reference tables, will a standard normal distribution have any points above 2.5? How does that translate to the distribution of scores? c. What share of points in a standard normal distribution are below -4? What does that imply for the distribution of scores?
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
Related questions
Question
100%
Please show ALL work and answer ALL questions.
![1. A college professor teaches Chemistry 101 each fall to a large class of first-year students.
For tests, she uses standardized exams that she knows from past experience produce
normal distributions of scores, with a mean of 70 and a standard deviation of 12.
a. Her philosophy of grading is to impose standards that will yield, in the long run,
14% A's, 20% B's, 32% C's, 20% D's and 14% F's. Where should the cutoff be
between the A's and the B's? Between the B's and the C's?
b. According to reference tables, will a standard normal distribution have any points
above 2.5? How does that translate to the distribution of scores?
c. What share of points in a standard normal distribution are below-4? What does
that imply for the distribution of scores?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe333b570-3dc5-4bee-bced-cf379c81a351%2F1a420812-cf5f-48c2-8869-6d939fb4f0e1%2Fsm9lbv_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. A college professor teaches Chemistry 101 each fall to a large class of first-year students.
For tests, she uses standardized exams that she knows from past experience produce
normal distributions of scores, with a mean of 70 and a standard deviation of 12.
a. Her philosophy of grading is to impose standards that will yield, in the long run,
14% A's, 20% B's, 32% C's, 20% D's and 14% F's. Where should the cutoff be
between the A's and the B's? Between the B's and the C's?
b. According to reference tables, will a standard normal distribution have any points
above 2.5? How does that translate to the distribution of scores?
c. What share of points in a standard normal distribution are below-4? What does
that imply for the distribution of scores?
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 8 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![Glencoe Algebra 1, Student Edition, 9780079039897…](https://www.bartleby.com/isbn_cover_images/9780079039897/9780079039897_smallCoverImage.jpg)
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
![Big Ideas Math A Bridge To Success Algebra 1: Stu…](https://www.bartleby.com/isbn_cover_images/9781680331141/9781680331141_smallCoverImage.jpg)
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
![Glencoe Algebra 1, Student Edition, 9780079039897…](https://www.bartleby.com/isbn_cover_images/9780079039897/9780079039897_smallCoverImage.jpg)
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
![Big Ideas Math A Bridge To Success Algebra 1: Stu…](https://www.bartleby.com/isbn_cover_images/9781680331141/9781680331141_smallCoverImage.jpg)
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt