A company has a filling machine for low pressure oxygen shells. Data collected over the past two months show an average weight after filling of 1.433g with a standard deviation of 0.033g. The specification for weight is 1.460 ± 0.085g. Weight is normally distributed.
(a) What percentage will not meet the weight specification? Briefly explain how you solved this problem.
(b) Would you suggest a shift in the aim of the filling machine? Why or why not?