A random sample of size n=122 is taken from a population of size N=2,700 with mean =56 and varlance 2=90. [You may find it useful to reference the ztable.] a-1. Is it necessary to apply the finite population correction factor? Yes No a-2. Calculate the expected value and the standard error of the sample mean. (Negative values should be indicated by a minus sign. Round "standard error" to 2 decimal places.) b. What is the probability that the sample mean is between -58 and -547 t (Round " 2 " value to 2 decimal ploces, and final answer to 4 decimal places.).