Standard normal table (z score table) must be used for question #5 along with formulas. Show your work and computation for each question to be able to receive the full credit. Values taken from tables should be reported as it is. Final results from computations should be rounded off to two decimal places where appropriate. 5. A life satisfaction Test has a population mean of u = 400 and a population standard deviation of o =120. Suppose you randomly select a sample of 100 participants and administer the Life Satisfaction Test to each participant. a. What would you expect the mean of this sample to be (uz)? (1p) b. What is the standard error of the mean for samples of size 100 from this population (6x)? (1p) c. What is the probability that this sample will be one of the samples that will have a mean Life Satisfaction score greater than 420? P(x > 420) =? (3p) d. What is the probability that this sample will be one of the samples that will have a mean Life Satisfaction score between 390 and 410? P(390