Metalworks, a supplier of fabricated industrial parts, wonders if there is any connection between when a component is constructed (Shift is equal to 1, 2, or 3) and whether or not it is defective (Defective is equal to Yes if the component is defective, No otherwise). The supplier collects data on the construction of 300 components. A portion of the data is shown in the accompanying table. 

a. Construct a contingency table that cross-classifies the data by shift and whether or not the component is defective. How many components constructed during Shift 1 were defective? How many components constructed during Shift 2 were not defective? 

b. Given that the component was defective, what is the likelihood that it was constructed during Shift 2? Given that the component was defective, what is the likelihood that it was constructed during Shift 3? Does there seem to be any connection between when a component is constructed and whether or not it is defective? Explain. 

c. Construct a stacked column chart. Are the defect rates consistent across all shifts? Explain.

Transcribed Image Text:

Component Shift Defective 1 1 No 2 1 ⠀ 300 : 3 Yes I No