(a)Define the following concepts: (i) parameter, (ii) estimate, (iii) sampling error, and (iv) sampling distribution.

Your definitions should be clear and make use of examples where relevant.

(b)Briefly outline three estimators and explain how they are implemented. Are any of the estimators unbiased? Explain why or why not.

(C) In undertaking hypothesis testing, there are -risks and -risks. (i) Briefly explain the distinction between these two risks.(ii) Why do we prefer low values forand? (iii) For a given sample size, why is there a trade-off betweenand? (iv) How could we decrease bothand?