STATS 401 Study Guide - Midterm Guide: Interpolation, Normal Distribution, Order Statistic

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15 Oct 2018
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Use the 2001 average daily maximum temperature data for question 5 in this problem set. You should provide your code (if any) and the numerical answer to each question, along with any written explanation that is requested: suppose you observe the data 1, 3, 5, 2, 3, c, c. 2 + (c 2)2/6 + ( c 2)2/6, which can in turn be simpli ed to s. This is an increasing function of |c|: suppose we observe data x1, x2, . Express your answer in terms of the order statistics. Solution: x(15) x(5): generate ve iid samples of size 100 from a standard normal distribution. Solution: i got values of 0. 36 for sample size 100, and 0. 04 for sample size 1000, based on this code: Since the population median of the standard normal distribution is 0, | q(0. 5)| is a measure of how far the sample median lies from the population median.

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