2.10. Consider the Minitab output shown below.

Two-Sample T-Test and CI: Y1, Y2 Two-sample T for Y1 vs Y2 N Mean Std. Dev. SE Mean 11 20 50.19 1.71 0.38 12 20 52.52 2.48 0.55 Difference = (Y1) - (Y2)

Estimate for difference: -2.33341 95% CI for difference: (-3.69547, -0.97135)

T-Test of difference = 0 (vs not = 0): T-Value = -3.47 P-Value = 0.001 DF = 38 Both use Pooled Std. Dev. = 2.1277

(a) Can the null hypothesis be rejected at the 0.05 level?

Why?

(b) Is this a one-sided or a two-sided test?

(c) If the hypotheses had been H₀: μ₁ - μ₂ = 2 versus

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