Need help with answers and explanation regarding this three parts of the same question. Thanks

1)

Suppose we have a sample of n=6 people, drawn randomly from the same population. Let X_i represent the weight (in kg) and Y_i represent the height (in cm) of observation _i (i=1,2,...,6), where their population means are ?_x and ?_y, and their population variances are ?_x and ?_y , 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 i.i.d.

2)

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

3)

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