Once can train technicians who can plug into procedures. But unless the user knows enough of the statistical concepts that the problem can be fully formulated, education, rather than training, is needed. The first hit will be Advanced Cal. I would rather get rid of the calculus, and teach a slightly modified course in the concepts of analysis, and follow it with a greatly shortened calculus methods course. The students coming out of calculus know nothing of what derivatives and integrals mean.
Computers can NOW do all the manipulations they learn.
The second hit would be that we need to change the way of delivering material. The students need to learn the concepts of probability and statistics, and mathematics. They do not need to be taught a cookbook. Any good cook knows how to deviate from recipes. The two electives will depend on the selected area of application.