Consider again the conditions of Exercise 10, and assume the same prior distribution of θ. Suppose now, however, that six observations are selected at random from the uniform distribution on the interval [θ – 1/2, θ + 1/2], and their values are 11.0, 11.5, 11.7, 11.1, 11.4, and 10.9. Determine the posterior distribution of θ.
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