A set of final examination grades in an introductory statistics course is normally distributed, with a mean of 79 and a standard deviation of 7. Complete parts (a) through (d). a. What is the probability that a student scored below 91 on this exam? The probability that a student scored below 91 is 0.9564 (Round to four decimal places as needed.) b. What is the probability that a student scored between 72 and 997 The probability that a student scored between 72 and 99 is 0.8392 (Round to four decimal places as needed.) c. The probablity is 25% that a student taking the test scores higher than what grade? The probability is 25% that a student taking the test scores higher than 84 (Round to the nearest integer as needed) d. If the professor grades on a curve (for example, the professor could give A's to the top 10% of the class, regardless of the score), i a student better off with a grade of 93 on the exam with a mean of 79 and a standard deviation of 7 or a grade of 70 on a different exam where the mean is 66 and the standard deviation is 47 Show your answer statistically and explain. A student is with a grade of 93 on the exam with a mean of 79 and a standard deviation of 7 because the Z value for the grade of 93 is and the Z value for the grade of 70 on the different exam is (Round to tw needed) better off worse off

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
Part d
Aset of final examination grades in an introductory statistics course is normally distributed, with a mean of 79 and a standard deviation of 7. Complete parts (a) through (d).
a. What is the probability that a student scored below 91 on this exam?
The probability that a student scored below 91 is 0.9564
(Round to four decimal places as needed.)
b. What is the probability that a student scored between 72 and 997
The probability that a student scored between 72 and 99 is 0 8392
(Round to four decimal places as needed.)
c. The probability is 25% that a student taking the test scores higher than what grade?
The probability is 25% that a student taking the test scores higher than 84
(Round to the nearest integer as needed)
d. If the professor grades on a curve (for example, the professor could give A's to the top 10% of the class, regardless of the score), is a student better off with a grade of 93 on the exam with a mean of 79 and a standard deviation of 7 or a grade of 70 on a different exam, where the mean is 66 and the standard deviation is
47 Show your answer statistically and explain.
A student is
with a grade of 93 on the exam with a mean of 79 and a standard deviation of 7 because the Z value for the grade of 93 is and the Z value for the grade of 70 on the different exam is
(Round to tw
needed.)
better off
worse off
Transcribed Image Text:Aset of final examination grades in an introductory statistics course is normally distributed, with a mean of 79 and a standard deviation of 7. Complete parts (a) through (d). a. What is the probability that a student scored below 91 on this exam? The probability that a student scored below 91 is 0.9564 (Round to four decimal places as needed.) b. What is the probability that a student scored between 72 and 997 The probability that a student scored between 72 and 99 is 0 8392 (Round to four decimal places as needed.) c. The probability is 25% that a student taking the test scores higher than what grade? The probability is 25% that a student taking the test scores higher than 84 (Round to the nearest integer as needed) d. If the professor grades on a curve (for example, the professor could give A's to the top 10% of the class, regardless of the score), is a student better off with a grade of 93 on the exam with a mean of 79 and a standard deviation of 7 or a grade of 70 on a different exam, where the mean is 66 and the standard deviation is 47 Show your answer statistically and explain. A student is with a grade of 93 on the exam with a mean of 79 and a standard deviation of 7 because the Z value for the grade of 93 is and the Z value for the grade of 70 on the different exam is (Round to tw needed.) better off worse off
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman