Question 1 (10 points) A manufacturer is interested in the output voltage of a power supply used in a PC. Output voltage is assumed to be normally distributed with standard deviation 0.25 volt, and the man- ufacturer wishes to test H0 : u = 5 volts against H1 : ,u 94 5 volts, using T1 = 16 units. Here a is the population mean voltage. (a) (5 points) Let :E be the observed sample mean. The rejection region is If: 5.1454. Find the value of a. (b) (5 points) Find the power of the test for detecting a true mean output voltage of 5.1 volts. [You may use the stande normal CDF function (5(3) = P(Z g 3:) without calculating its exact value. ]