The mean amount of time that aparticular brand of sunscreen is purported to lastbefore it needs to be reapplied is50 minutes. You suspect something has gone wrong with the manufacturing process and formulate the following two hypotheses:

H0: mu=50(as purported) vs H1: mu=43

Furthermore, you believe that the probability that the null is true is 0.7. Note that we have simplified the continuous prior distribution for mu used earlier in the question to a simple two-point discrete distribution. Assume that25 applications from the new batch were tested and themean time that it lasted was found to be 46.6 minutes with a standard deviation of 5minutes.

The odds that H0 is true are