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  3. 1. list all possible samples of n=2 from the follo

1. List all possible samples of n=2 from the following population {1,2,3,5,6,7} (note that there is...

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Statistics

1. List all possible samples of n=2 from the followingpopulation {1,2,3,5,6,7} (note that there is no number 4 in thepopulation). Assume that those numbers represent the years of ageof six different people. Create a sampling distribution of the 15different sample means based on each possible pair (e.g., thesample {2,1} represents on possible such pair). Assume further thatthe order of the numbers does not matter (e.g., the pair {1,2} isthe same as the pair {2,1}). Compute the expected value of theresulting sampling distribution (i.e., the mean age or μ) based onthe 15 different sample means. Compute the standard deviation(i.e., the standard error or SE) of the resulting samplingdistribution based on the 15 different sample means.

2. Based on the sampling distribution you created in question 2above, what is the probability of underestimating (i.e., theprobability to the left) the true population mean age (μ) by 2years.

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