Friday, October 10, 2014

Pinedale, Wisconsin, is a rural community with a children’s fishing pond. Posted rules state that...

Pinedale, Wisconsin, is a rural community with a children’s fishing pond. Posted rules state that all fish under 6 inches must be returned to the pond, only children under 12 years old may fish, and a limit of five fish may be kept per day. Susan is a college student who was hired by the community last summer to make sure the rules were obeyed and to see that the children were safe from accidents. The pond contains only rainbow trout and has been well stocked for many years. Each child has no difficulty catching his or her limit of five trout. As a project for her biometrics class, Susan kept a record of the lengths (to the nearest inch) of all trout caught last summer. Hundreds of children visited the pond and caught their limit of five trout, so Susan has a lot of data. To make Table 6-9, Susan selected 100 children at random and listed the lengths of each of the five trout caught by a child in the sample. Then, for each child, she listed the mean length of the five trout that child caught. Now let us turn our attention to the following question: What is the average (mean) length of a trout taken from the Pinedale children’s pond last summer?

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