AVS Historically, the SAT score of a randomly selected student has an unknown distribution with a mean of 1510 points and a standard deviation of 345.1 points. Let X be the SAT score of a randomly selected student and let X be the average SAT score of a random sample of size 44. 1. Describe the probability distribution of X and state its parameters μ and σ: X~ unknown (1510,o=345.1 and find the probability that the SAT score of a randomly selected student is between 1007 and 1670
AVS Historically, the SAT score of a randomly selected student has an unknown distribution with a mean of 1510 points and a standard deviation of 345.1 points. Let X be the SAT score of a randomly selected student and let X be the average SAT score of a random sample of size 44. 1. Describe the probability distribution of X and state its parameters μ and σ: X~ unknown (1510,o=345.1 and find the probability that the SAT score of a randomly selected student is between 1007 and 1670
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
ANSWER COMPLETELY FOR UPVOTE
Transcribed Image Text:✔ Question 3
INS
LVS
Historically, the SAT score of a randomly selected student has an unknown distribution with a mean of 1510
points and a standard deviation of 345.1 points. Let X be the SAT score of a randomly selected student and
let X be the average SAT score of a random sample of size 44.
1. Describe the probability distribution of X and state its parameters μ and σ:
X~ unknown
(1510,o=345.1
and find the probability that the SAT score of a randomly selected student is between 1007 and 1670
points.
0.6051 x (Round the answer to 4 decimal places)
2. Use the Central Limit Theorem
the sample size is large (n>30) although the distribution of the original population is unknown
to describe the probability distribution of X and state its parameters and o: (Round the answers to 1
decimal place)
X~N
(PX 1510, 52.0✔
and find the probability that the average SAT score of a sample of 44 randomly selected students is less
than 1385 points.
0.0082✔ (Round the answer to 4 decimal places)
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 3 steps with 2 images
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