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Math Help - Normal posterior distribution

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    Normal posterior distribution

    Hi all!

    The weights of items from a certain production processes are independently and
    identically distributed, each with a N( \theta , 4) distribution. The production manager believes that \theta 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 \theta .
    Determine the predictive distribution for the weight of one further item from
    the batch.

    Any ideas on how to set out this problem?

    Thanks!
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  2. #2
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    This is from a bayesian statistics background btw
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