6.45 Computing the test statistic and P-value. You will perform a significance test of H₀: μ = 30 based on an SRS of n = 49. Assume that σ = 14.

1. (a) If , what is the test statistic z?

2. (b) What is the P-value if H_a: μ > 30?

3. (c) What is the P-value if H_a: μ ≠ 30?