Theamount of time that aparticular brand of sunscreen is purported to lastbefore it needs to be reapplied is on average 50 minutes. The mean time is not the same from batch to batch and the extent of this variation is represented by astandard deviation of 3minutes. A new batch of the sunscreen has been produced and as part of the quality assurance procedure 25 applications were tested and themean time that it lasted was found to be 46.6 minutes with a standard deviation of 5 minutes.You have just developed the posterior distribution for mu.

The mean of the posteriorcan be thought of as a weighted sum of the prior mean and the sample mean. In this case the weighting on the sample mean is Blank 1. Fill in the blank, read surrounding text.