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4. (10 points) You are told that the heights of students are normally distributed with an unknown mean u and a given standard deviation of

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4. (10 points) You are told that the heights of students are normally distributed with an unknown mean u and a given standard deviation of 10cm. You measure the 25 students in your statistics class and find that the mean height of the sampled students is x = 170 (centimeters). (a) Construct a 95% confidence interval for M. (b) Test Ho : M = 174cm versus H1 : M

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