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D Question 3 2 pts Test the indicated claim about the means of two populations. Assume that the two samples are independent simple random samples

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D Question 3 2 pts 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. Do not assume that the population standard deviations are equal. Use the traditional method or P-value method as indicated. 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: 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. Use the P-value method of hypothesis testing. Two-Sample T-Test Sample N Mean StDev 1 8 3.1125 0.4357 2 13 3.4385 0.5485 Difference = mu (1) - mu (2) Estimate for difference: -0.326 T-Test of difference = 0 (vs not =): T-Value =-1.51 P-Value = 0.1495 DF = 19 At the 10% significance level, there is enough evidence to support the claim that the mean GPA of students at college A is different from the mean GPA of students at college B. At the 10% significance level, there is not sufficient evidence to support the claim that the mean GPA of students at college A is different from the mean GPA of students at college B

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