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Estimate the population mean of y

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Suppose we have a sample of n =6 people, drawn randomly from the same population. Let Xi represent the weight (in kg) and Yi represent the height (in cm) of observation i (i=1,2,...,6 ), where their population means are μx and μy , and their population variances are σx and σy , respectively. Our actual datasets for weight and height are {74,61,63,85,57,76} and {1.71,1.68,1.62,1.78,1.55,1.73}, respectively.

Describe and explain whether our sample is independent and identically distributed

Determine (with reasons) the appropriate statistical estimator to estimate the population mean of Y (i.e. μy). Based on your estimator, what is the estimate for μy? Will your estimator be more efficient if we have access to a larger sample? Greater than n=6?

Reference no: EM132399705

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