Suppose that the amount of time that students spend studying in the library in one sitting is normally distributed with mean 46 minutes and standard deviation 16 minutes. A researcher observed 17 students who entered the library to study. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N 46 16 b. What is the distribution of ? - N 46 15.058 x) 0³ c. What is the distribution of Σα? Σα - N 782 ✓4352 X OF d. If one randomly selected student is timed, find the probability that this student's time will be between 47 and 50 minutes. 0.0785 X
Suppose that the amount of time that students spend studying in the library in one sitting is normally distributed with mean 46 minutes and standard deviation 16 minutes. A researcher observed 17 students who entered the library to study. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N 46 16 b. What is the distribution of ? - N 46 15.058 x) 0³ c. What is the distribution of Σα? Σα - N 782 ✓4352 X OF d. If one randomly selected student is timed, find the probability that this student's time will be between 47 and 50 minutes. 0.0785 X
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
B C AND D ONLY PLEASE
Transcribed Image Text:8:00 ✓
5G
Suppose that the amount of time that students spend
studying in the library in one sitting is normally
distributed with mean 46 minutes and standard
deviation 16 minutes. A researcher observed 17
students who entered the library to study. Round all
answers to 4 decimal places where possible.
a. What is the distribution of X? X - N 46
16
OB
b. What is the
distribution of ? N 46
15.058: X
08
c. What is the distribution of Σx? Σ - N(
X
782
4352 X
d. If one randomly selected student is timed, find
the probability that this student's time will be
between 47 and 50 minutes. 0.0785
X
e. For the 17 students, find the probability that
their average time studying is between 47 and 50
minutes.
f. Find the probability that the randomly selected
17 students will have a total study time more
than 680 minutes. 0.5080
X
g. For part e) and f), is the assumption of normal
necessary? Yes No o
h. The top 20% of the total study time for groups of
17 students will be given a sticker that says
"Great dedication". What is the least total time
that a group can study and still receive a sticker?
49.2
X minutes
Hint:
myopenmath.com
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 5 steps
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman