1. An industrial engineer specializing in ergonomics performs an experiment to see if the position (left, center, or right) within a work station affects the speed achieved by a production line worker who packages a product from a conveyor belt into boxes. Carefully explain what random error (i.e., random variability) signifies in this experiment. What should be randomized in this experiment and why?
2. Suppose you need to measure the size of some candies (Gummi Bears and Peanut M&M's), where size is defined to be the maximum diameter of the candies.
(a) Which kind of candy will probably be subject to more measurement error? Explain.
(b) Suggest how this measurement error could be reduced.
(c) Which kind of candy will probably be subject to more random vari ability? Explain.