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Hypothesis Test

Suppose that a small college claims that they graduate at least 500 students every semester. A random sample of 31 semesters yields a sample mean of 420 with a sample standard deviation of 65.

H0: m >= 500
Ha: m < 500

Find the critical value for the hypothesis test. Assume that the significance level is a=0.02.

Answer z=_________________________

Round your final answer to two decimal places.