(Solution) - Suppose that a random sample of 20 observations is taken -(2025 Original AI-Free Solution)

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Suppose that a random sample of 20 observations is taken from a normal distribution for which the value of the mean ? is unknown and the variance is 1. After the sample values have been observed, it is found that Xn = 10, and that the posterior distribution of ? is a normal distribution for which the mean is 8 and the variance is 1/25.What was the prior distribution of ??