value: 10.00 points Do a two-sample test for equality of means assuming unequal

Question

value: 10.00 points 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: s1- .20, n1 m 15, R2 4.6, sz .30, n2 15, a .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. O Reject the null hypothesis C Do not reject the null hypothesis

Explanation / Answer

a-1) Null hypothesis: 1 - 2 >= 0
Alternative hypothesis: 1 - 2 < 0

df = n1 + n2 - 2 = 15+ 15 - 2 = 28

test statistic:
SE = sqrt[(s1^2/n1) + (s2^2/n2)]
SE = sqrt[(.20^2/15) + (.30^2/15) = 0.093

t = [ (x1 - x2) - d ] / SE
= [(4.25 - 4.6) - 0] / 0.093 = -3.763

P value = .000395.

t critical value = -2.048

We reject the null hypothesis.

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