Define the term pivotal quantity as applicable to a parameter 0. [3)(b) Let Xi, i = 1, 2, .., 10 be a random sample of size n = 10 from N(4,03) wherei and o are unknown.(i) State an appropriate pivotal quantity for estimating k. (i) Derive a 100(1 - a)% confidence interval for p. (2) (3] (ji) The birth weights of a sample of 10 chicks of a very small bird species (ingrams) are 24, 22, 20, 25, 19, 30, 18, 17, 20, 23. Construct a 99% confidence interval for ju.

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