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- What is the critical value of a one-tailed greater than One-Sample Z-Test for Mean where alpha equals 0.05?Determine the critical values for a two-tailed test of a population mean at the α = 0.05 level of significance based on a sample size of n = 12.Determine the critical value for a left tailed test of a population mean at the a=0.005 level of significance based on a sample size of n=30.