Do a two-sample test for equality of means assuming unequal variances. Calculate the p-value using Excel. (a-1) Comparison of GPA for randomly chosen college juniors and seniors: x1x1 = 3.05, s₁ = .20, n₁ = 15, x2x2 = 3.25, s₂ = .30, n₂ = 15, = .025, left-tailed test. (Negative values should be indicated by a minus sign. Round down your d.f. answer to the nearest whole number and other answers to 4 decimal places. Do not use "quick" rules for degrees of freedom.)

d.f.
t-calculated
p-value
t-critical

(a-2) Based on the above data choose the correct decision.

multiple choice 1

• Reject the null hypothesis

• Do not reject the null hypothesis

(b-1) Comparison of average commute miles for randomly chosen students at two community colleges: x1x1 = 15, s₁ = 5, n₁ = 22, x2x2 = 18, s₂ = 7, n₂ = 19, = .05, two-tailed test. (Negative values should be indicated by a minus sign. Round down your d.f. answer to the nearest whole number and other answers to 4 decimal places. Do not use "quick" rules for degrees of freedom.)

d.f.
t-calculated
p-value
t-critical	+/-

(b-2) Based on the above data choose the correct decision.

multiple choice 2

• Do not reject the null hypothesis

• Reject the null hypothesis

(c-1) Comparison of credits at time of graduation for randomly chosen accounting and economics students: x1x1 = 139, s₁ = 2.8, n₁ = 12, x2x2 = 137, s₂ = 2.7, n₂ = 17, = .05, right-tailed test. (Negative values should be indicated by a minus sign. Round down your d.f. answer to the nearest whole number and other answers to 4 decimal places. Do not use "quick" rules for degrees of freedom.)

d.f.
t-calculated
p-value
t-critical

(c-2) Based on the above data choose the correct decision.

multiple choice 3

• Do not reject the null hypothesis

• Reject the null hypothesis