Suppose that a random sample is to be taken from a normal distribution for which the value of the mean is unknown and the standard deviation is 2, and the prior distribution of is a normal distribution for which the standard deviation is 1 What is the smallest number of observations that must be included in the sample in order to reduce the standard deviation of the posterior distribution of to the value 0 1

Question: Suppose that a random sample is to be taken from a normal distribution for which the value of the mean is unknown and the

Suppose that a random sample is to be taken from a normal for which the value of the mean θ is unknown and the standard deviation is 2, and the prior of θ is a normal for which the standard deviation is 1. What is the smallest number of observations that must be included in the sample in order to reduce the standard deviation of the posterior of θ to the value 0.1?

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