Consider the following computer output.

Difference = mu (1) €“ mu (2)

Estimate for difference: €“1.210

95% CI for difference: (€“2.560, 0.140)

T-test of difference = 0 (vs not =) :

T-value = ? P-value = ? DF = ?

Both use Pooled StDev = ?

(a) Fill in the missing values. Is this a one-sided or a two-sided test? Use lower and upper bounds for the P-value.

(b) What are your conclusions if α = 0.05? What if α = 0.01?

(c) This test was done assuming that the two population variances were equal. Does this seem reasonable?

(d) Suppose that the hypothesis had been H₀: μ₁ = μ₂ versus H₀ : μ₁ < μ₂. What would your conclusions be if α = 0.05?

Two-Sample T-Test and CI Sample Mean 10.94 SE Mean 0.36 StDev 1.26 12 0.50 12.15 16 1.99