answer all questions with explanation

A study is conducted to estimate the number of field workers on a population of 573 small farms in northern California. Researchers believe the number of field workers is correlated with the size of the farm (in acres). The total number of acres in the population is to = 6240. A simple random sample of 50 farms was collected. The sample mean number of workers was y = 12. The sample mean number of acres was a = 11. (a) (4 pts) Assume the sample variance of the residuals is s. = 1022.8. Give a point estimate and standard error for the total number of field workers in the population. (b) (4 pts) Give a 95% confidence interval for the population ratio of workers per acre. (c) (1 pt) What is the sampling weight for a single farm in the population