The mean breaking strength of a ceramic insulator must be at least 10 psi. The process by which this insulator is manufactured must show equivalence to this standard. If the process can manufacture insulators with a mean breaking strength of at least 9.5 psi, it will be considered equivalent to the standard. A random sample of 50 insulators is available, and the sample mean and standard deviation of breaking strength are 9.31 psi and 0.22 psi, respectively.

(a) State the appropriate hypotheses that must be tested to demonstrate equivalence.

(b) What are your conclusions using α = 0.05?