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Q1: a random sample of ten college freshmen takes a mathematics aptitude test both before and after undergoing an intensive training course designed to improve

Q1: a random sample of ten college freshmen takes a mathematics aptitude test both before and after undergoing an intensive training course designed to improve such scores. Then the scores of each student are paired, as shown in the table below.A study was conducted to determine if the salaries of Q2. elementary school teachers from two neighboring districts were equal. A sample of 17 teachers from each district was randomly seiected. The mean bom the fest dist 00 a ndd deviation of $3300. The mean from the second district was $40.300 with a standard deviation of $3100. Test the claim that the salanes from both districts are equal. Assume the samples are random and ndependent, and the distributed. Aiso, assume that population variances are equal (0,=0,. Use a = 0.05.

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Student Before (B) 3 8 ON After (A) 71 70 Test the claim that the aptitude test is effective in improving the students' test scores. Use alpha = 0.05

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