Suppose we are testing null hypothesis that the mean of a normal distribution is 25 lbs against the alternative hypothesis that the mean is not 25 lbs using .
We already know that the variance of the normal distribution is 4 lbs2 and we later find out that the true mean is actually 26 lbs.
Assuming we take n = 25 samples, what is the probability of a type II error for this test?
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