Schools A and B reported the following summary of test scores. Test the claim that there is a difference in the means between two schools A and B. (a) At α = 5%, use the Classical approach to conclude it. (b) Using the P-value approach to conclude it. School A : n=80, X bar=37, S2=120 School B : n=60, X bar= 33, S2 = 90 Estimate of standard error= 138 P-value: Using t-distribution, we find the p-value is equal to 0.0224 for the two-tailed test. P-value 0.0224< significant level a/2=0.025, we reject,

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Schools A and B reported the following summary of test scores. Test the claim that there is a difference in the means between two schools A and B.

(a) At α = 5%, use the Classical approach to conclude it.

(b) Using the P-value approach to conclude it.

School A : n=80, X bar=37, S2=120

School B : n=60, X bar= 33, S2 = 90

Estimate of standard error= 138

P-value: Using t-distribution, we find the p-value is equal to 0.0224 for the two-tailed test. P-value 0.0224< significant level a/2=0.025, we reject, therefore, there is a difference in the means of the two schools A and B.

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