A manufacturing process is supposed to produce ball bearings with a diameter of 0.5 inch....

A manufacturing process is supposed to produce ball bearings with a diameter of 0.5 inch. The company examines n = 50 ball bearings and finds that   and S²(n) = 0.06. Test the null hypothesis H₀: μ = 0.5 against the alternative hypothesis H₁: μ ≠ 0.5 at level α = 0.05. Also, construct a 95 percent confidence interval for μ.