A population consists of five numbers 3,5,7,9,11.considerall possible samples if size 2 which can be drawn from the replacement from this population.find mean of the population
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Acc to the question, the population consists of five numbers 2 3 6 8 11.
Therefore,
Mean(µ) = \frac{ 2 + 3 + 6 + 8 + 11}{5}52+3+6+8+11 = 6.0
Standard deviation(σ) = \frac{(2-6)+(3-6)+(6-6)+(8-6)+(11-6)}{5}5(2−6)+(3−6)+(6−6)+(8−6)+(11−6) = 10.8
Mean of the sampling distribution = (sum of all samples)/25 = 150/25 = 6.0 [form a matrix of elements from the set of numnbers given and finally calculate its sum]
Standard deviation of the sampling distribution = subtract the mean 6
from each number, square the result, add all 25 numbers obtained, and divide by 25. = 135/25 = 5.4
Step-by-step explanation:
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