Normal posterior distribution
The weights of items from a certain production processes are independently and
identically distributed, each with a N( , 4) distribution. The production manager believes that varies from batch to batch according to a N(110, 0.4) distribution.
A sample of 5 items is randomly selected from a batch, giving data: 108, 109,
107.4, 109.6, 112. Derive the posterior distribution for .
Determine the predictive distribution for the weight of one further item from
Any ideas on how to set out this problem?