Question: Need a descriptive solved answer. Thank you Exercise 1.2. Suppose that a population consists of 5 units given by: 10, 15, 20, 25, and 30.

Need a descriptive solved answer. Thank you

Exercise 1.2. Suppose that a population consists of 5 units given by: 10, 15, 20, 25, and 30. Select all possible samples of 3 units using SRSWR and SRSWOR sampling. ( a ) Show that the sample mean is an unbiased estimator of population mean in each case. ( b ) The sample variance is unbiased estimator of the population variance under SRSWR sampling, and for population mean squared error under SRSWOR sampling. ( c ) Also plot the sampling distribution of sample mean and sample variance in each situation. ( d ) Find the variance of sample mean under SRSWOR sampling using the definition of variance? Show all steps. ( e ) Also compute W-n s? and comment on it. Nn

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