On Saturday morning, Jennifer Bentford received a call at her home from the production supervisor at Bentford Electronics Plant 1. The supervisor indicated that she and the supervisors from Plants 2, 3, and 4 had agreed that something must be done to improve company morale and thereby increase the production output of their plants. Jennifer Bentford, president of Bentford Electronics, agreed to set up a Monday morning meeting with the supervisors to see if they could arrive at a plan for accomplishing these objectives.
By Monday, each supervisor had compiled a list of several ideas, including a four-day work week and interplant competitions of various kinds. A second meeting was set for Wednesday to discuss the issue further.
Following the Wednesday afternoon meeting, Jennifer Bent-ford and her plant supervisors agreed to implement a weekly con-test called the NBE Game of the Week. The plant producing the most each week would be considered the NBE Game of the Week winner and would receive 10 points. The second-place plant would receive 7 points, and the third- and fourth-place plants would receive 3 points and 1 point, respectively. The contest would last 26 weeks. At the end of that period, a $200,000 bonus would be divided among the employees in the four plants proportional to the total points accumulated by each plant.
The announcement of the contest created a lot of excitement and enthusiasm at the four plants. No one complained about the rules because the four plants were designed and staffed to produce equally.
At the close of the contest, Jennifer Bentford called the super-visors into a meeting, at which time she asked for data to deter-mine whether the contest had significantly improved productivity. She indicated that she had to know this before she could authorize a second contest. The supervisors, expecting this request, had put together the following data:

Jennifer examined the data and indicated that the contest looked to be a success, but she wanted to base her decision to continue the contest on more than just an observation of the data. €œSurely there must be some way to statistically test the worthiness of this contest,€ Jennifer stated. €œI have to see the results before I will authorize the second contest.€

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Units Produced (4 Plants Combined Frequency 0-2.500 2.501 8.000 8,001-15,000 15,001-20,0005 Before-Contest During-Contest Frequency 20 83 56 105 days 155 days