Consider the computer output below.

Difference = mu (1) €“ mu (2)

Estimate for difference: €“3.91

95% upper bound for difference: ?

T-test of difference = 0(vs <): T-value = €“3.00 P-value = ? DF = ?

(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 different. Does this seem reasonable?

(d) Suppose that the hypotheses 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 StDev SE Mean 0.55 15 2.13 54.73 58.64 20 5.28 1.2