The staff of the accounting and quality control departments rated their respective supervisor's leadership style as either (1) authoritarian or (2) participatory. Their responses are tabulated in the following table. Leadership Style Department Authoritarian Participatory Total Accounting 40 5 45 Quality Control 20 35 55 Total 60 40 100 Are Accounting and Authoritarian independent and why or why not? Select one: O a. no, because P(Accounting) # P(Authoritarian) O b. no, because P(Authoritarian) # P(Participatory) O c. no, because P(Accounting) = P(Accounting | Authoritarian) O d. yes, because P(Accounting)=P(Authoritarian | Accounting)A large manufacturing company in Ba produces valves for the chemical industry. According to specifications, one particular valve is supposed to have a 10 cm opening on the side. Quality control inspectors take random samples of these valves just after the hole is bored. They measure the size of the hole in an effort to determine if the machine is out-of-adjustment. The measurement of the diameter of the hole represents which level of data? Select one: O a. nominal O b. ratio O c. ordinal O d. intervalIn a set of 15 aluminium castings, two castings are defective (D), and the remaining thirteen are good {G}. A quality control inspector randomly:r selects three of line fifteen castings without replacement, and classies each as defective [D] or good [(3). which of the Following is NOT an elementary event for this experiment? Select one: 0 a. (D, D, G) C} h. (G, G, G} o c. (G, D, G} C} d. (D, D, D)