Ms. Truman has always provided her statistics students with a small index card for each exam. The students are permitted to write whatever they want on the index card and use it on the exam. She decides to conduct an experiment to investigate if the distribution of grades will be different if she provides students with a large index card. She has 80 students in her statistics classes this year. She randomly assigns 40 students to receive the typical small index card and 40 students to receive a large index card to use on the upcoming exam. The results of the exam are displayed in the table.   She would like to test these hypotheses: H0: There is no difference in the distribution of grades for all students like these who use either a small or large index card. Ha: There is a difference in the distribution of grades for all students like these who use either a small or large index card. The random condition is met and the 10% condition is not needed because no random sampling took place. Is the Large Counts condition met? Yes, the smallest expected count is 5, so all expected counts are at least 5. Yes, the smallest expected count is 7.5, so all expected counts are at least 5. No, the smallest expected count is 4, so the expected counts are not all at least 5. No, the smallest expected count is 0.2, so the expected counts are not all at least 5.

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

Ms. Truman has always provided her statistics students with a small index card for each exam. The students are permitted to write whatever they want on the index card and use it on the exam. She decides to conduct an experiment to investigate if the distribution of grades will be different if she provides students with a large index card. She has 80 students in her statistics classes this year. She randomly assigns 40 students to receive the typical small index card and 40 students to receive a large index card to use on the upcoming exam. The results of the exam are displayed in the table.

 

She would like to test these hypotheses:

H0: There is no difference in the distribution of grades for all students like these who use either a small or large index card.
Ha: There is a difference in the distribution of grades for all students like these who use either a small or large index card.

The random condition is met and the 10% condition is not needed because no random sampling took place. Is the Large Counts condition met?

Yes, the smallest expected count is 5, so all expected counts are at least 5.
Yes, the smallest expected count is 7.5, so all expected counts are at least 5.
No, the smallest expected count is 4, so the expected counts are not all at least 5.
No, the smallest expected count is 0.2, so the expected counts are not all at least 5.
Index Card Size
Small
Large
A
8
22
10
Grade
10
D
6
4
F
6
4
Transcribed Image Text:Index Card Size Small Large A 8 22 10 Grade 10 D 6 4 F 6 4
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
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