The head mechanical engineer wants you to verify the softwar…
The head mechanical engineer wants you to verify the software results evaluating the claim that a new heat-treatment process will increase the mean tensile strength for alloy bolts. The historical mean tensile strength for standard bolts is 800 MPa. The Population Standard Deviation (σ) is known to be 20 MPa. Sample Size: 45 bolts Significance Level: α = 0.05 Hypothesis: H₀: μ = 800 vs. H1: μ > 800 The engineer performed a one-sample z-test using MINITAB Using the data and software output below, complete the following checks. MINITAB Output One-Sample Z: Tensile Strength Test of mu = 800 vs > 800 The assumed standard deviation = 20 Variable N Mean StDev SE Mean 95% Lower Bound Z-Value P-Value Strength 45 804.62 20 799.71 0.061 Tasks (a) Compute the standard error (SE) of the sample mean. (b) Compute the z‑statistic. Note: Round to 2 decimals