# Question

With reference to Exercise 10.21, find the efficiency of the estimator of part (a) with ω = 1/2 relative to this estimator with

In exercise

If 1 is the mean of a random sample of size n from a normal population with the mean µ and the variance σ21, 2 is the mean of a random sample of size n from a normal population with the mean µ and the variance σ22, and the two samples are independent.

In exercise

If 1 is the mean of a random sample of size n from a normal population with the mean µ and the variance σ21, 2 is the mean of a random sample of size n from a normal population with the mean µ and the variance σ22, and the two samples are independent.

## Answer to relevant Questions

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