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A study is undertaken to look at the outcomes of two SAT tutoring programs. For the...

A study is undertaken to look at the outcomes of two SAT tutoring programs. For the first program, a sample of 200 students is taken and it is determined that the mean score is 1312 with a standard deviation for the sample of 35. For the second program a random sample of 225 students is taken with a mean result of 1256 and a sample standard deviation of 28. At the 1% confidence level can you conclude that the first program yields higher scores on average than the second program? Justify your answer.

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