Consider the hypothesis test given by:
H0: μ = 530
H1: μ ≠ 530
In a random sample of 85 subjects, the sample mean is found to be x(bar) = 522.3. Also, the population standard deviation is σ = 29.
Determine the P-value for this test. Is there sufficient evidence to justify the rejection of H0 at the α = 0.01 level? Explain.