Suppose that we are testing H0 ????1 = ????2 versus H0 ????1 ????2 where

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Suppose that we are testing H0 ∶ ????1 = ????2 versus H0 ∶ ????1 ≠ ????2 where the two sample sizes are n1 = n2 = 12.

Both sample variances are unknown but assumed equal. Find bounds on the P-value for the following observed values of the test statistic.

(a) t0 = 2.30

(b) t0 = 3.41

(c) t0 = 1.95

(d) t0 = −2.45

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