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 = 73.9 and x̄2 = 71.8. The sample standard deviations were s1 = 4.2 and s2 = 3.8.

The sample sizes were n1 = 23 and n2 = 17.

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 = 0.05 level?

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