CH # 11 | Q # 3 (C) | Sampling Distribution Of Sample Means | Easy Statistics | Urdu Hindi | M Usman

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3(c). Draw all possible random samples of size n = 3 with replacement from the population 3, 6, 9 and 12. Assuming the 64 possible samples equally likely, form a sampling distribution of sample means. Hence state and verify the relation between
(i) the mean of the sampling distribution of the sample mean and the population
mean.
(ii) the variance of the sampling distribution of the sample mean and the
population variance.

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In the solution of the above problem first of all we make samples of size 3 with replacement and calculate means for all possible random samples. After this, we will make sampling distributions of sample mean and find it's mean and variance and then we will discuss the relationships between mean and variance of sampling distribution and population.

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