The drying time of a certain type of paint under specified test conditions is considered to be normally distributed with =100 min and o=11 min. It is suspected that the actual drying time is perhaps not equal to 100 min. and hence a hypothesis test is being arranged as HO: H = 100 Ha: H #100 n=30 random samples have been collected and drying time measured for each. Average drying time calculated from the samples is X-bar= 105.08 min Answer the following questions for the aboove scenario. at 0.02? What is the P-value for the test in part (a) int For test of hupothesis, Instead of using (X-bar-HO)/(o/sqrt(n)) as the test statistic if you use X-bar as the test statistic, nt what would be the limits outside of which you will reject HO? redit nts In problem 2 part (c), if the true mean has shifted from 100 to 103, what is the probability of making the Type II (beta) error in the above hypotheses testing