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3. An admission test was administered to incoming freshmen in two colleges. Two independent samples of 150 students each are randomly selected and the mean

3. An admission test was administered to incoming freshmen in two colleges. Two independent samples of 150 students each are randomly selected and the mean scores of the given samples are x1=88 and x2=85 Assume that the variances of the test scores are 40 and 35, respectively. Is the difference between the mean scores significant or can be attributed to chance? Use 0.01 level of significance.

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