The scores of students on the SAT college entrance examinations at a certain high school had a normal distribution with mean = 551.5 and standard deviation a = 27.7. (a) What is the probability that a single student randomly chosen from all those taking the test scores 557 or higher? ANSWER: 0.5793 For parts (b) through (d), consider a simple random sample (SRS) of 30 students who took the test. (b) What are the mean and standard deviation of the sample mean score , of 30 students? The mean of the sampling distribution for is: 5.05 The standard deviation of the sampling distribution for is: (c) What z-score corresponds to the mean score of 557? ANSWER: (d) What is the probability that the mean score of these students is 557 or higher? ANSWER:
The scores of students on the SAT college entrance examinations at a certain high school had a normal distribution with mean = 551.5 and standard deviation a = 27.7. (a) What is the probability that a single student randomly chosen from all those taking the test scores 557 or higher? ANSWER: 0.5793 For parts (b) through (d), consider a simple random sample (SRS) of 30 students who took the test. (b) What are the mean and standard deviation of the sample mean score , of 30 students? The mean of the sampling distribution for is: 5.05 The standard deviation of the sampling distribution for is: (c) What z-score corresponds to the mean score of 557? ANSWER: (d) What is the probability that the mean score of these students is 557 or higher? ANSWER:
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
Hi, can someone also help me with my answers on this problem? I don't think I'm doing it correctly. Thank you!
![The scores of students on the SAT college entrance examinations at a certain high school had a normal distribution with mean \( \mu = 551.5 \) and standard deviation \( \sigma = 27.7 \).
(a) What is the probability that a single student randomly chosen from all those taking the test scores 557 or higher?
**ANSWER:** 0.5793
For parts (b) through (d), consider a simple random sample (SRS) of 30 students who took the test.
(b) What are the mean and standard deviation of the sample mean score \( \bar{x} \), of 30 students?
- The mean of the sampling distribution for \( \bar{x} \) is: **551.5**
- The standard deviation of the sampling distribution for \( \bar{x} \) is: **5.05**
(c) What z-score corresponds to the mean score \( \bar{x} \) of 557?
**ANSWER:** [ ]
(d) What is the probability that the mean score \( \bar{x} \) of these students is 557 or higher?
**ANSWER:** [ ]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff9555959-8c8d-40ad-b513-1eb73dc4eafa%2F28c1a0cd-6a5b-471e-8e19-2397910c491b%2Fz9wmdxe_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The scores of students on the SAT college entrance examinations at a certain high school had a normal distribution with mean \( \mu = 551.5 \) and standard deviation \( \sigma = 27.7 \).
(a) What is the probability that a single student randomly chosen from all those taking the test scores 557 or higher?
**ANSWER:** 0.5793
For parts (b) through (d), consider a simple random sample (SRS) of 30 students who took the test.
(b) What are the mean and standard deviation of the sample mean score \( \bar{x} \), of 30 students?
- The mean of the sampling distribution for \( \bar{x} \) is: **551.5**
- The standard deviation of the sampling distribution for \( \bar{x} \) is: **5.05**
(c) What z-score corresponds to the mean score \( \bar{x} \) of 557?
**ANSWER:** [ ]
(d) What is the probability that the mean score \( \bar{x} \) of these students is 557 or higher?
**ANSWER:** [ ]
Expert Solution
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 5 steps with 4 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