Do a two-sample test for equality of means assuming equal variances. Calculate the p-value.
a. Comparison of GPA for randomly chosen college juniors and seniors: ¯x1 = 3.05, s1 = .20,
n1 = 15, ¯x2 = 3.25, s2 = .30, n2 = 15, α = .025, left-tailed test.
b. Comparison of average commute miles for randomly chosen students at two community colleges:
¯x1 = 15, s1 = 5, n1 = 22, ¯x2 = 18, s2 = 7, n2 = 19, α = .05, two-tailed test.
c. Comparison of credits at time of graduation for randomly chosen accounting and economics students:
¯x1 = 139, s1 = 2.8, n1 = 12, ¯x2 = 137, s2 = 2.7, n2 = 17, α = .05, right-tailed test.
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The expert examines p-value of equality of means.