A new process for producing small precision parts is being studied. The process consists of mixing fine metal powder with a plastic binder, injecting the mixture into a mold, and then removing the binder with a solvent. These data are obtained on parts that should have a 1-inch diameter and whose standard deviation should not exceed .0025 inch: For these data xˉ =1.00084 and s=.00282 . (a) Test H 0 :μ=1 H 1:μ=1 at the α=.05 level. (b) Test H 0 :σ=.0025 H 1 :σ>.0025 at the α=.05 ​