Q.1 At the end of every school year, the state administers a reading test to a sample of 36 third graders. The school system has 20,000 third graders, half boys and half girls. The results from last year's test are shown in the table below. Stratum Boys Girls Mean score 80 70 Standard deviation 10.27 6.66 This year, the researchers plan to use a stratified sample, with one stratum consisting of boys and the other, girls. Use the results from last year to answer the following questions? • To maximize precision, how many sampled students should be boys and how many should be girls? . What is the mean reading achievement level in the population? Compute the confidence interval. . Find the margin of error.
Q.1 At the end of every school year, the state administers a reading test to a sample of 36 third graders. The school system has 20,000 third graders, half boys and half girls. The results from last year's test are shown in the table below. Stratum Boys Girls Mean score 80 70 Standard deviation 10.27 6.66 This year, the researchers plan to use a stratified sample, with one stratum consisting of boys and the other, girls. Use the results from last year to answer the following questions? • To maximize precision, how many sampled students should be boys and how many should be girls? . What is the mean reading achievement level in the population? Compute the confidence interval. . Find the margin of error.
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
![Q.1 At the end of every school year, the state administers a
reading test to a sample of 36 third graders. The school
system has 20,000 third graders, half boys and half girls.
The results from last year's test are shown in the table
below.
Stratum
Boys
Girls
Mean score
80
70
Standard deviation
10.27
6.66
This year, the researchers plan to use a stratified sample,
with one stratum consisting of boys and the other, girls. Use
the results from last year to answer the following questions?
. To maximize precision, how many sampled students should be
boys and how many should be girls?
. What is the mean reading achievement level in the population?
Compute the confidence interval.
. Find the margin of error.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc8115bc6-a35b-4190-acb2-cfee0439d251%2Faf352810-c9a5-461f-a300-cd256d36aa25%2Fajmkzf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Q.1 At the end of every school year, the state administers a
reading test to a sample of 36 third graders. The school
system has 20,000 third graders, half boys and half girls.
The results from last year's test are shown in the table
below.
Stratum
Boys
Girls
Mean score
80
70
Standard deviation
10.27
6.66
This year, the researchers plan to use a stratified sample,
with one stratum consisting of boys and the other, girls. Use
the results from last year to answer the following questions?
. To maximize precision, how many sampled students should be
boys and how many should be girls?
. What is the mean reading achievement level in the population?
Compute the confidence interval.
. Find the margin of error.
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
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 3 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
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](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
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…](https://www.bartleby.com/isbn_cover_images/9780134683416/9780134683416_smallCoverImage.gif)
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
![The Basic Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319042578/9781319042578_smallCoverImage.gif)
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](https://www.bartleby.com/isbn_cover_images/9781319013387/9781319013387_smallCoverImage.gif)
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman