Question: A test was made of H0 : 1 = 2 versus H1: 1 > 2. Independent random samples were drawn from approximately normal populations. The

A test was made of H0 : μ1 = μ2 versus H1: μ1 > μ2. Independent random samples were drawn from approximately normal populations. The sample means were x̄1 = 6.8 and x̄2 = 4.9. The sample standard deviations were s1 = 1.6 and s2 = 1.3.

The sample sizes were n1 = 12 and n2 = 10.

a. Find the value of the test statistic t.

b. Find the number of degrees of freedom for t.

c. Find the P-value.

d. Interpret the P-value. Do you reject H0 at the α = 0.01 level?

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