You having two employees working on commission - employee A and employee B. Over the course of 80 weeks, you observe the sales of each employee. Let X = the number of times employee A has more sales than employee B. You build the following line of reasoning:Steps1. You assume each sales observation is an independent, random outcome.2. You assume each employee has equal likelihood of have greater sales in a week.3. Using your statistics book, you conclude that X is distributed binomial with mean 40 and variance 20.4. Based on this distribution, you conclude that you would observe X < 32 or X > 48 approximately 5% of the time.5. You observe X = 53 and conclude that the probability that X < 32 or X > 48 is not 5%.6. Because the probability that X < 32 or X > 48 is not 5%, you conclude

employee A and employee B do not have equal likelihood of having greater sales in a week.Which of these steps is part of deductive reasoning?

A. All 6 steps
B. Steps 3, 4, and 5 only
C. Steps 1, 2, 3, and 4 only
D. Steps 1, 2, 3, 4, and 6 only


Answer: D

Biology & Microbiology

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