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…

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter12: Probability

Section12.4: Discrete Random Variables; Applications To Decision Making

Problem 30E

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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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