Question: 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

Consider the following computer output.

Two-Sample T-Test and CI Sample N Mean StDev SE Mean 1 12

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 2. What would your conclusions be if α = 0.05?

Two-Sample T-Test and CI Sample N Mean StDev SE Mean 1 12 10.94 1.26 0.36 2 16 12.15 1.99 0.50

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