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4. (25 pts total) Let's say there is standardized testing for Lancaster, Newton , and Fitchburg. A person selects each students at random and records these as scores. Lancaster: 93,

87, 88, 92, 90, 70, 77 Newton: 72, 99, 98, 95, 80, 95,96 Fitchburg: 62, 52, 32, 77, 90, 77, 67, 72 a.) If we want to compare these 3 means to see if they differ, what type of test would we implement. b.) What is our null and alternative hypothesis. c.) From Minitab (or similar software), using this test, what is our p-value if assumin a a = 0.05 d.) Now run a Tukey HSD, which towns appear to differ in their test scores.Please show the output in your write-up.

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