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In: Statistics and Probability

Test the indicated claim about the means of two populations. Assume that the two samples are...

Test the indicated claim about the means of two populations. Assume that the two samples are independent simple random samples selected from normally distributed populations. 1) A researcher was interested in comparing the GPAs of students at two different colleges. Independent random samples of 8 students from college A and 13 students from college B yielded the following GPAs: College A College B 3.7 3.8 2.8 3.2 3.2 4.0 3.0 3.0 3.6 2.5 3.9 2.6 2.7 3.8 4.0 3.6 2.5 3.6 2.8 3.9 3.4 Use a 0.10 significance level to test the claim that the mean GPA of students at college A is different from the mean GPA of students at college B. (Note: x1 = 3.1125, x2 = 3.4385, s1 = 0.4357, s2 = 0.5485.) Make sure to include all steps of a hypothesis test in your answer.

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