of final examination grades in an introductory statistics course is normally​ distributed, with a mean of 72 and a standard deviation of 9. Complete parts​ (a) through​ (d).   .a. What is the probability that a student scored below 88 on this​ exam?   The probability that a student scored below 88 is?   ​(Round to four decimal places as​ needed.)   b.

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
A set of final examination grades in an introductory statistics course is normally​ distributed, with a mean of 72 and a standard deviation of 9.
Complete parts​ (a) through​ (d).
 
.a.
What is the probability that a student scored below 88 on this​ exam?
 
The probability that a student scored below 88 is?
 
​(Round to four decimal places as​ needed.)
 
b.
What is the probability that a student scored between 63 and 94​?
 
The probability that a student scored between 63 and 94 is?
​(Round to four decimal places as​ needed.)
 
c.
The probability is 15​% that a student taking the test scores higher than what​ grade?
 
The probability is 15​% that a student taking the test scores higher than?
​(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 90 on the exam with a mean of 72 and a standard deviation of 9 or a grade of 73 on a different​ exam, where the mean is 69 and the standard deviation is 4​?
Show your answer statistically and explain.
 
A student is
 
better off OR
worse off
with a grade of
90
on the exam with a mean of
72
and a standard deviation of
9
because the Z value for the grade of
90
is
nothing
and the Z value for the grade of
73
on the different exam is
nothing.
​(Round to two decimal places as​ needed.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 4 images

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
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