5. have equal variance. Two random samples are taken from the populations and the following summary statistics was obtained. We conduct a two-sample t-test to compare the means of two populations. Assume that the populations Descriptive Statistics: Y1, Y2 Total Variable Count Mean SE Mean StDev Variance Sum Y1 16 20.19 1.31 5.24 27.46 323.04 16 24.42 1.97 7.87 61.94 414.72 Y2 Test the hypothesis Ho: H1 = µz versus the one-sided alternative H: H

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5.
We conduct a two-sample t-test to compare the means of two populations. Assume that the populations
have equal variance. Two random samples are taken from the populations and the following summary statistics was
obtained.
Descriptive Statistics: Y1, Y2
Total
Variable
Count Mean SE Mean StDev Variance
Sum
Yl
16 20.19
1.31 5.24
27.46 323.04
16 24.42
1.97 7.87
61.94 414.72
Y2
Test the hypothesis Ho: H1 = Hz versus the one-sided alternative H: H < Hz at a = 0.01 level. State
%3D
a.
your conclusion.
Determine the bounds on the p-value of the test.
Construct a 95% upper confidence bound on the difference in means.
b.
c.
Transcribed Image Text:5. We conduct a two-sample t-test to compare the means of two populations. Assume that the populations have equal variance. Two random samples are taken from the populations and the following summary statistics was obtained. Descriptive Statistics: Y1, Y2 Total Variable Count Mean SE Mean StDev Variance Sum Yl 16 20.19 1.31 5.24 27.46 323.04 16 24.42 1.97 7.87 61.94 414.72 Y2 Test the hypothesis Ho: H1 = Hz versus the one-sided alternative H: H < Hz at a = 0.01 level. State %3D a. your conclusion. Determine the bounds on the p-value of the test. Construct a 95% upper confidence bound on the difference in means. b. c.
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