o a two-sample test for equality of means assuming unequal variances. Calculate
ID: 3052008 • Letter: O
Question
o 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: = 4.05, s1 = .20. n,-15, X2-435, 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. Reject the null hypothesis O Do not reject the null hypothesis b-1) Comparison of average commute miles for randomly chosen students at two community colleges: = 19, s1 = 5, n1-22, 2-25, 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.Explanation / Answer
a-1) Degrees of freedom: 24.3918
Test Statistic, t: -3.2225
Critical t: -2.062144
P-Value: 0.0018
a-2) Reject the null hypothesis
b-1)
Degrees of freedom: 32.0275
Test Statistic, t: -3.1128
Critical t: ±2.036863
P-Value: 0.0039
b-2)
Reject the null hypothesis
c-1)
Degrees of freedom: 23.2829
Test Statistic, t: 0.9613
Critical t: 1.712997
P-Value: 0.1731
c-2)
Do do reject the null hypothesis
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