A salesman boasts to a farmer that his new fertilizer will increase the yield of the farmers crops by 15. The farmer wishes to test the effects of the new fertilizer on her corn yield.
She has four equal sized plots of land one with sandy soil, one with rocky soil, one with clay-rich soil, and one with average soil. She divides each of the four plots into three equal sized portions and randomly labels them A, B and C. The four A portions are treated with her old fertilizer. The four B portions are treated with the new fertilizer. The four C portions receive no fertilizer. At harvest time, the corn yield is recorded for each section of land. What is the claim she is testing? A) The new fertilizer yielded at least a 15 improvement.
B) The total yield increased at least 15.
C) The A sections had at least a 15 increase in yield.
D) The average soil field had at least a 15 increase in yield.
Question 2
The university police department must write, on average, five tickets per day to keep department revenues at budgeted levels. Suppose the number of tickets written per day follows a Poisson distribution with a mean of 6.5 tickets per day.
Interpret the value of the mean. A) If we sampled all days, the arithmetic average number of tickets written would be 6.5 tickets per day.
B) The number of tickets that is written most often is 6.5 tickets per day.
C) Half of the days have less than 6.5 tickets written and half of the days have more than 6.5 tickets written.
D) The mean has no interpretation since 0.5 ticket can never be written.
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