Question: The random variable X is normally distributed with unknown mean ji and known variance

The random variable X is normally distributed with unknown mean ji and known variance

42, 56, 68, 56, 48, 36, 45, 71, and 64.

(a) Name three intuitively reasonable point estimators for /x, and calculate their values for this particular sample.

(b) Find an 86.6 percent confidence interval for fx.

(c) Suppose that your prior judgments about /x could be well represented by a normal distribution with mean 50 and variance 14. What is your posterior distribution for /x?

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