In Exercise 9.2, assume that the nurseryman knows there are approximately 2600 seedlings in the field. Use this additional information to estimate the average height and place a bound on the error of estimation. Exercise 9.2
A nurseryman wants to estimate the average height of seedlings in a large field that is divided into 50 plots that vary slightly in size. He believes the heights are fairly constant throughout each plot but may vary considerably from plot to plot. Therefore, he decides to sample 10% of the trees within each of 10 plots using a two-stage cluster sample. The data are as given in the accompanying table. Estimate the average height of seedlings in the field and place a bound on the error of estimation.