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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

Answer» <html><body><p>Acc to the question, the population <a href="https://interviewquestions.tuteehub.com/tag/consists-930075" style="font-weight:bold;" target="_blank" title="Click to know more about CONSISTS">CONSISTS</a> of five numbers 2 3 6 8 11. Therefore, Mean(µ) =  = 6.0 Standard deviation(σ) =  = 10.8 Mean of the sampling <a href="https://interviewquestions.tuteehub.com/tag/distribution-440862" style="font-weight:bold;" target="_blank" title="Click to know more about DISTRIBUTION">DISTRIBUTION</a> = (<a href="https://interviewquestions.tuteehub.com/tag/sum-1234400" style="font-weight:bold;" target="_blank" title="Click to know more about SUM">SUM</a> of all <a href="https://interviewquestions.tuteehub.com/tag/samples-1194689" style="font-weight:bold;" target="_blank" title="Click to know more about SAMPLES">SAMPLES</a>)/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, <a href="https://interviewquestions.tuteehub.com/tag/add-361838" style="font-weight:bold;" target="_blank" title="Click to know more about ADD">ADD</a> all 25 numbers obtained, and divide by 25. = 135/25 = 5.4Explanation:</p></body></html>


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