Use the Minitab macro NormDP to nd the posterior distribution of the mean when we have

Use the Minitab macro NormDP to nd the posterior distribution of the mean μ when we have a random sample of observations from a normal(μ, σ²), where σ² is known, and we have a discrete prior for μ.

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[R:] Use the R function normdp to find the posterior distribution of the mean when we have a random sample of observations from a nor- mal(,02), where is known, and we have a discrete prior for . Suppose we have a random sample of n = 10 observations from a nor- mal(u, 2) distribution where it is known = 4. The random sample of observations are: == 3.07 7.51 5.95 6.83 8.80 4.19 7.44 7.06 9.67 6.89 We only allow that there are 12 possible values for , 4.0, 4.5, 5.0, 5.5, 6.0, 6.5, 7.0, 7.5, 8.0, 8.5, 9.0, and 9.5. If we do not favor any possible value over another, so we give all possible values of probability equal to The prior distribution is: g() = .083333 for E {4.0, 4.5,..., 9.0, 9.5}, 0 otherwise. Use NormDP to find the posterior distribution g(p|y1,..., Y10). [R:] Use normdp function to find the posterior distribution g(|y1,..., 910).