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Question: Consider the following sample data drawn independently from normally distributed populations with unequal population variances.
a. Construct the relevant hypothesis to test if the means of the two populations differ.
b. What is the value of the test statistic?
c. Approximate the p-value of the test.
d. What is the inference of the test at a 10% level of significance?
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Calculate the X2 statistic and show that it is the square of the z statistic. Show that the P-value from Table F agrees (up to the accuracy of the table) with your result from (a).
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