a population consists of five numbers 1, 3, 5, 7 and 9. take all possible samples of size 3 without replacement from this population construct sampling distribution of sample mean find its mean and variance
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Answer:
Acc to the question, the population consists of five numbers 2 3 6 8 11.
Therefore,
Mean(µ) = = 6.0
Standard deviation(σ) = = 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
Explanation:
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