A teacher is interested in exploring whether a new method for teaching multiplication improves student’s learning. He randomly assigns 6 students to learn multiplication using the newly developed method. 5 other students learn multiplication using the traditional teaching method. He then gives them a multiplication quiz to assess their learning. Below are their scores. New Method Old MethodParticipant #Score Participant #Score17 7628 8736 9547 10759 11467 125 What kind of analysis will you use? Why? State the null and alternative hypothesis. Check your assumptions. Explain why each of them are or are not met. Sketch a distribution and shade the rejection region(s), including the corresponding critical value(s). Using R, calculate your test statistic and interpret the results of your test. (Don’t forget your 95% confidence interval and screenshots of your work!)

Type of Analysis: In the given situation, the scores of the students were compared between the…

Answered: A teacher is interested in exploring…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

A teacher is interested in exploring whether a new method for teaching multiplication improves student’s learning. He randomly assigns 6 students to learn multiplication using the newly developed method. 5 other students learn multiplication using the traditional teaching method. He then gives them a multiplication quiz to assess their learning. Below are their scores.

New Method		Old Method
Participant #	Score		Participant #	Score
1	7		7	6
2	8		8	7
3	6		9	5
4	7		10	7
5	9		11	4
6	7		12	5

What kind of analysis will you use? Why?

State the null and alternative hypothesis.

Check your assumptions. Explain why each of them are or are not met.

Sketch a distribution and shade the rejection region(s), including the corresponding critical value(s).

Using R, calculate your test statistic and interpret the results of your test. (Don’t forget your 95% confidence interval and screenshots of your work!)

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