A manufacturing company produces valves in various sizes and shapes. One particular valve plate is supposed to have a tensile strength of 500 MPa (megapascals). The company tests a random sample of 42 such valve plates from a lot of 650 valve plates. The sample mean is a tensile strength of 506.11 MPa, and the population standard deviation is 28.03 MPa. Use α = 0.10 and determine whether the lot of valve plates has an average tensile strength of 500 MPa.