Assuming all conditions are met for conducting a hypothesis test for means, we need to use specific formulas. Specifically, we need to calculate the z-statistic as the sample size is greater than 30:
z = (x̄-μ)/(σ/√n) = (14.7-15.7)/(3.36/√35) ≈ −1.76
Hence, the z-statstic is -1.76
Hope this helped!