In a study of a new method of teaching arithmetic, claimed to improve on conventional techniques, 400 children were divided at random into two groups A and B, of sizes 250 and 150 respectively. Those in group B were taught using the experimental method, while those in group A were taught by conventional methods. After completion of the course all the pupils were given the same test paper, and the group scores were as follows. Group A : mean 67-8, variance 60-4, Group B : mean 70-2, variance 55-6. Is there any evidence that method B is effective? State carefully your null hypothesis, alternative hypothesis and conclusion.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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Statistics and probability
In a study of a new method of teaching arithmetic, claimed to improve on conventional
techniques, 400 children were divided at random into two groups A and B, of sizes 250 and 150
respectively. Those in group B were taught using the experimental method, while those in
group A were taught by conventional methods. After completion of the course all the pupils
were given the same test paper, and the group scores were as follows.
Group A : mean 67-8, variance 60-4,
Group B : mean 70-2, variance 55-6.
Is there any evidence that method B is effective? State carefully your null hypothesis,
alternative hypothesis and conclusion.
Transcribed Image Text:In a study of a new method of teaching arithmetic, claimed to improve on conventional techniques, 400 children were divided at random into two groups A and B, of sizes 250 and 150 respectively. Those in group B were taught using the experimental method, while those in group A were taught by conventional methods. After completion of the course all the pupils were given the same test paper, and the group scores were as follows. Group A : mean 67-8, variance 60-4, Group B : mean 70-2, variance 55-6. Is there any evidence that method B is effective? State carefully your null hypothesis, alternative hypothesis and conclusion.
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