Suppose the college professor in question 1.1. wants to know whether the mathematical aptitude of freshmen has improved over the past year. He randomly draws 25 SAT mathematics scores from last year’s freshman class and obtains a sample mean of 560 and a sample standard deviation of 35. Compare the results from last year with the results from this year. Do the data offer enough evidence for rejecting the null hypothesis that there is no improvement? Use a 5 % level of significance.
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