Schools A and B reported the following summary MCAS scores. Test the claim that applicants of School A score higher than School B. (a) At α = 10%, use the Classical approach and conclude it. (b) Use the P-value approach and conclude it. School  A : n=10, X bar=415, S2 = 100 School B : n=7, X bar=410,S2 = 128 Estimate of standard error= 15 P-value: By looking at the t-distribution, we find the p-value is equal to 0.1811 for a one-tailed test. P-value 1811> significant level a=0.05, therefore,  fail to reject. Additionally, there is not enough evidence to conclude School A scored higher than School B

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Schools A and B reported the following summary MCAS scores. Test the claim that applicants of School A score higher than School B.

(a) At α = 10%, use the Classical approach and conclude it.

(b) Use the P-value approach and conclude it.

School  A : n=10, X bar=415, S2 = 100

School B : n=7, X bar=410,S2 = 128

Estimate of standard error= 15

P-value: By looking at the t-distribution, we find the p-value is equal to 0.1811 for a one-tailed test.

P-value 1811> significant level a=0.05, therefore,  fail to reject. Additionally, there is not enough evidence to conclude School A scored higher than School B.

 

 

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