65. Suppose that a random sample of size 20 is taken from a normal distribution with unknown mean and known variance equal to 1, and the mean is found to be x = 10, A normal distribution was used as...


65. Suppose that a random sample of size 20 is taken from a normal distribution<br>with unknown mean and known variance equal to 1, and the mean is found to<br>be x = 10, A normal distribution was used as the prior for the mean, and it was<br>found that the posterior mean was 15 and the posterior standard deviation wa:s<br>0.1. What were the mean and standard deviation of the prior?<br>

Extracted text: 65. Suppose that a random sample of size 20 is taken from a normal distribution with unknown mean and known variance equal to 1, and the mean is found to be x = 10, A normal distribution was used as the prior for the mean, and it was found that the posterior mean was 15 and the posterior standard deviation wa:s 0.1. What were the mean and standard deviation of the prior?

Jun 01, 2022
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