Question: Suppose we are given the 12 observations from a normal distribution: and we are told that the variance = 1. Find a 90% HDR

Suppose we are given the 12 observations from a normal distribution: 

15.644, 16.437, 17.287, 14.448, 15.308, 15.169, 18.123, 17.635, 17.259, 16.311, 15.390, 17.252,

and we are told that the variance ϕ = 1. Find a 90% HDR for the posterior distribution of the mean assuming the usual reference prior.

15.644, 16.437, 17.287, 14.448, 15.308, 15.169, 18.123, 17.635, 17.259, 16.311, 15.390, 17.252,

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