A researcher is conducting a study about the effectiveness of a new
product to the households in a certain Barangay. His population
consists of the numbers 8, 4, 2, 1, 13, and 10. Perform the following
tasks:
1. Determine the number of sets of all possible random samples using the
combination formula
2. List all the possible samples and compute the mean of each sample
3. Construct the sampling distribution.
4. Construct the histogram
1.
"Number = \\frac{N!}{n!(N-n)!} \\\\\n\nn = 1 \\\\\n\nNumber = \\frac{6!}{1!(6-1)!} = \\frac{6}{1} = 6 \\\\\n\nn = 2 \\\\\n\nNumber = \\frac{6!}{2!(6-2)!} = \\frac{5 \\times 6}{2} = 15 \\\\\n\nn = 3 \\\\\n\nNumber = \\frac{6!}{3!(6-3)!} = \\frac{4 \\times 5 \\times 6}{2 \\times 3} = 20 \\\\\n\nn = 4 \\\\\n\nNumber = \\frac{6!}{4!(6-4)!} = \\frac{3 \\times 4 \\times 5 \\times 6}{2 \\times 3 \\times 4} = 15 \\\\\n\nn = 5 \\\\\n\nNumber = \\frac{6!}{5!(6-5)!} = \\frac{2 \\times 3 \\times 4 \\times 5 \\times 6}{2 \\times 3 \\times 4 \\times 5} = 6 \\\\\n\nn = 6 \\\\\n\nNumber = \\frac{6!}{6!(6-6)!} = \\frac{1}{1} = 1"
2.
3. The sampling distribution
4.
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