HW4 - Statistics 5021 Homework 4 There are 20 total...

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Statistics 5021 – Homework 4 There are 20 total points (1 point for each part of each question and 8 points for handing in the assignment). One question will be graded for correctness. This homework is due Thursday, March 3 in your lab section. 1. The data are 35 measured systolic blood pressures in mmHg 159 92 102 92 90 91 96 91 118 136 91 90 111 92 90 91 90 151 92 90 146 94 90 90 91 90 176 95 90 90 159 92 109 90 106 The observed sample mean is ¯ x = 104 . 6571 mmHg and the observed sample standard deviation is s = 24 . 53082 mmHg. A researcher feels that using the Normal distribution to model systolic blood pressures for the population is problematic. (a) Compute a 95% confidence interval for μ , the population distribution mean sys- tolic blood pressure. State all assumptions made and interpret the interval. (b) Suppose that the 3rd and 4th measurements are two systolic blood pressures measured on the same individual. Given this information, explain why it is un- reasonable to assume that x 1 , . . . , x 35 are a realization of a random sample from a distribution.
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