please help me solving these question please don't use graphs or excel or google sheet use an acctual equation

9.1.8) Foam height is normally distributed and has a standard deviation of 18 millimeters. The compa wishes to test Ho: u= 175 millimeters versus versus H1: u 175 millimeters, using the results of n = II samples. Calculate the probability of a type II error if the true foam height is 185 millimeters and (a) a = 0.01 and n =10 (b) or = 0.01 and n =16 (c) Compare the values of calculated in parts (a) and (b). What conclusion can you draw. 9.1.10) A manufacturer is interested in the output voltage of a power supply used in a PC. Output volt is assumed to be normally distributed with a standard deviation of 0.2 volt, and the manufacturer wist to test H0: u= 5 volts against H1: u 75 5 volts, using n = 10 units. (a) The acceptance region is 4.80 S :'c S 5.20. Find the value of a. (b) Find the power of the test for detecting a true mean output voltage of 5.1 volts