Vector control in an African village. A study of vector control in an African village found that the mean sprayable surface area was 249 square feet with standard deviation 39.82 square feet in a simple random sample of n = 100 homes.

(a) Calculate a 95% confidence interval for μ.

(b) Would it be correct to say that 95% of all the homes in the village have sprayable surfaces between the lower confidence limit and upper confidence limit? Explain.