The following activities and questions relate to material covered in Chapter 7.3 The Central Limit Theorem for Proportions in Introductory Business Statistics (OpenStax).

Questions

1. A Yukon-based farm usually butchers chicken in mid-July and mid-August. If a chicken weighs less than 6 pounds, the farmer will keep them. The farmer weighed and butchered 220 chickens last year. One in forty chickens was not fit to keep. What is the standard deviation of the mean of the sampling distribution of sample proportions?

Solutions

1. [latex]\sigma=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{\frac{1}{40}(1-\frac{1}{40})}{220}}=0.0105[/latex]
   The standard deviation of the mean of the sampling distribution of sample proportions is 0.0105.