Question: In testing a hypothesis concerning the mean of a normal process with known variance against a one-tailed alternative, discuss the relationship between the classical p-value

In testing a hypothesis concerning the mean of a normal process with known variance against a one-tailed alternative, discuss the relationship between the classical p-value and the posterior probability P" (Ho),

(a) if the prior distribution is diffuse,

(b) if the prior distribution is not diffuse.

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