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:
 x¯1x¯1 = 4.5, s₁ = .20, n₁ = 15, x¯2x¯2 = 4.9, s₂ = .30, n₂ = 15, α = .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.

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:
 x¯1x¯1 = 23, s₁ = 5, n₁ = 22, x¯2x¯2 = 32, s₂ = 7, n₂ = 19, α = .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.
 

• 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:
 x¯1x¯1 = 149, s₁ = 2.8, n₁ = 12, x¯2x¯2 = 146, s₂ = 2.7, n₂ = 17, α = .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.
 

• Do not reject the null hypothesis

• Reject the null hypothesis