An instructor wishes to determine which of two methods of teaching ---A or ---B is more effective in teaching a certain concept in statistics. In a class of 36 students, he used Method A and in another class where there are 40 students, he used method B. He gave the two classes the same examination and obtained the following results. Method A Method B X₁ = 78 X₂ = 70 S₂ = 6 S₁ = 4 Is he correct in assuming that method A is more effective than method B? Use a = 0.01

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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Instruction:

Please indicate the following:

*Null hypothesis

*Alternative hypothesis

*Specify the level of significance

*Aprropriate test statistics to be used

*what is the critical region

*Computation for the value of the statistical test

*Make a decision and conclusion

An instructor wishes to determine which of two methods of teaching ---A or ---B is more
effective in teaching a certain concept in statistics. In a class of 36 students, he used
Method A and in another class where there are 40 students, he used method B. He
gave the two classes the same examination and obtained the following results.
Method A
Method B
X₁ = 78
X₂ = 70
S₂ = 6
S₁ = 4
Is he correct in assuming that method A is more effective than method B? Use a = 0.01
Transcribed Image Text:An instructor wishes to determine which of two methods of teaching ---A or ---B is more effective in teaching a certain concept in statistics. In a class of 36 students, he used Method A and in another class where there are 40 students, he used method B. He gave the two classes the same examination and obtained the following results. Method A Method B X₁ = 78 X₂ = 70 S₂ = 6 S₁ = 4 Is he correct in assuming that method A is more effective than method B? Use a = 0.01
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