If asked to supposes the test statistic was 267 how would


If the facts are: 

Ho: mu = 275 vs Ha: mu > 275

N = 500

df = n-1 or 499

Xbar =280

S = 25

Calculated test statistic is 4.47

If asked to supposes the test statistic was 2.67 how would one calculate the associated p-value?

Am I using the Student's t Table and calculating for a one-sided p value or some other procedure and table?

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Basic Statistics: If asked to supposes the test statistic was 267 how would
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