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  Read the scenario. Levi examines the effect of fertilizer on the growth of tomato plants. Over a 15-day period, he gives the plants fertilizer on Days 1, 4, 7, 10, and 13. He measures and records the height of all of his plants on Days 3, 6, 9, 12, and 15. His observations are shown in the table below. A data table showing four plants, the amount of fertilizer each is given (in milliliters), and their heights (in centimeters) at 6 separate measuring periods (in days): Plant A: 0 milliliters of fertilizer. Heights: (day 0, 4 centimeters) (day 3, 7), (day 6, 10), (day 9, 12), (day 12, 15), (15, 18). Plant B: 10 milliliters of fertilizer. Height: (day 0, 4 centimeters), (day 3, 9), (day 6, 14), (day 9, 19), (day 12, 21), (day 15, 25). Plant C: 20 milliliters of fertilizer. Height: (day 0, 4 centimeters), (day 3, 12), (day 6, 20), (day 9, 27), (day 12, 34), (day 15, 42). Plant D: 30 milliliters of fertilizer. Height: (day 0, 4 centimeters), (day 3, 13), (day 6, 22), (day 9, 29), (day 12, 38), (day 15, 46).
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  A geriatrician wanted to study the problem of diabetes in a nursing home. The nursing home had 300 residents. Among these, 30 residents were already diagnosed as diabetic, and 20 more residents were diagnosed as diabetics after blood glucose and HbA1c tests on Jan 1, 2016. Blood work up was done at 6-month intervals and 50 residents were diagnosed with diabetes over the course of 12 months. What is the incidence rate of diabetes in the nursing home population in the year 2016?
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