For Exercises 49–56, software output for confidence intervals for are provided. Assume the conditions are met. For each, examine the indicated software output, and do the following:
51. Vegetable Farms. SPSS output, where represents the population mean number of vegetable farms per county, nationwide.
8.2.51
(a) (20.3, 23.3) (b) We are 95% confident that μ, the population mean number of vegetable farms per county for all counties nationwide, lies between 20.3 vegetable farms per county and 23.3 vegetable farms per county. (c) 1.5 vegetable farms per county (d) We can estimate the population mean number of vegetable farms per county for all counties nationwide to within 1.5 vegetable farms per county with 95% confidence.