If the managers choose to use a significance level of alpha = 0.10 and assume sigma = 4, identify the power of a Z test by hand to detect a mean increase of 2 seconds (MUa = 102). They plan to look at a sample of 25 drying times and do a right-tailed hypothesis test. Also identify the probability by hand of making a type 2 error if the true mean drying time with the new colorant is 102 seconds, MUa = 102.