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Suppose that X ~ N(7, 2.25). Data x is an observed IID sample of size n = 500 from the distribution of X. That is, the IID Data Model is: x + X, where X ~ IID(500) X ~ IID(500) N(7,2.25). (a) Give a rough sketch of your guess at the density histogram of data x, including labeled tick marks on the horizontal axis. Explain why you expect the density histogram of the data x to look this way. (b) The sample mean x and the sample variance s2 of these 500 data values were computed. What would you guess their values are and why?

Suppose that X ~ N(7, 2.25). Data x is an observed IID sample of size n = 500 from the distribution of X. That is, the IID Data Model is: x + X, where X ~ IID(500) X ~ IID(500) N(7,2.25). (a) Give a rough sketch of your guess at the density histogram of data x, including labeled tick marks on the horizontal axis. Explain why you expect the density histogram of the data x to look this way. (b) The sample mean x and the sample variance s2 of these 500 data values were computed. What would you guess their values are and why?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Exercise 1. Suppose that X ~ N(7, 2.25). Data x is an observed IID sample of size n = 500 from the distribution of X. That is, the IID Data Model is: x + X, where X - IID(500) X IID(500) N(7,2.25). (a) Give a rough sketch of your guess at the density histogram of data x, including labeled tick marks on the horizontal axis. Explain why you expect the density histogram of the data x to look this way. (b) The sample mean x and the sample variance s2 of these 500 data values were computed. What would you guess their values are and why? (c) How many (give a count, not a percentage) of the 500 data values in x would you guess are less than 6? Explain why you believe your guess should be reasonable.
Transcribed Image Text:Exercise 1. Suppose that X ~ N(7, 2.25). Data x is an observed IID sample of size n = 500 from the distribution of X. That is, the IID Data Model is: x + X, where X - IID(500) X IID(500) N(7,2.25). (a) Give a rough sketch of your guess at the density histogram of data x, including labeled tick marks on the horizontal axis. Explain why you expect the density histogram of the data x to look this way. (b) The sample mean x and the sample variance s2 of these 500 data values were computed. What would you guess their values are and why? (c) How many (give a count, not a percentage) of the 500 data values in x would you guess are less than 6? Explain why you believe your guess should be reasonable.
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