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Question 1. Suppose a researcher was studying a population of N = 5 families. The household size and whether they are single (S) adult household or multiple (M) adult household are variables of interest. Family index i Household size 1 2 3 4 5 i) 3 2 5 2 4 Adults S S M M M Enumerate all possible samples of size n-3 when every sample is required to have at

Question 1. Suppose a researcher was studying a population of N = 5 families. The household size and whether they are single (S) adult household or multiple (M) adult household are variables of interest. Family index i Household size 1 2 3 4 5 i) 3 2 5 2 4 Adults S S M M M Enumerate all possible samples of size n-3 when every sample is required to have at

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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Question 1. Suppose a researcher was studying a population of N = 5 families. The household size and whether they are single (S) adult household or multiple (M) adult household are variables of interest. Family index i 1 2 3 4 5 i) ii) iii) Household size 3 2 5 2 Adults S S M M M Enumerate all possible samples of size n=3 when every sample is required to have at least one family of each of the types S and M. By enumerating, you are meant to list the triples of the index values that identify which three families are included in a given sample. Verify that you have listed all the possible samples using the procedure in i), by a) illustrating the sampling job in terms of distinct tasks in a decision tree, and b) Explaining the calculation of the number of samples possible. If all of the samples listed in i) are equally probable, find the probability distribution of the sample median that arises from the samples in i). Show the probability distribution by creating a table with the values of the sample median and the associated probabilities.
Transcribed Image Text:Question 1. Suppose a researcher was studying a population of N = 5 families. The household size and whether they are single (S) adult household or multiple (M) adult household are variables of interest. Family index i 1 2 3 4 5 i) ii) iii) Household size 3 2 5 2 Adults S S M M M Enumerate all possible samples of size n=3 when every sample is required to have at least one family of each of the types S and M. By enumerating, you are meant to list the triples of the index values that identify which three families are included in a given sample. Verify that you have listed all the possible samples using the procedure in i), by a) illustrating the sampling job in terms of distinct tasks in a decision tree, and b) Explaining the calculation of the number of samples possible. If all of the samples listed in i) are equally probable, find the probability distribution of the sample median that arises from the samples in i). Show the probability distribution by creating a table with the values of the sample median and the associated probabilities.
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