Referring to Exercise 94, develop a large-sample confidence interval formula for μ1 –...

Referring to Exercise 94, develop a large-sample confidence interval formula for μ₁ – μ₂ . Calculate the interval for the data given there using a confidence level of 95%.

Reference exercise 94

Let X₁, ….., X_m be a random sample from a Poisson distribution with parameter μ₁, and let be a random sample from another Poisson distribution with parameter μ₂. We wish to test . Develop a large-sample test procedure appropriate to his problem, and then apply it to the following data to test whether the plant densities for a particular species are equal in two different regions (where each observation is the number of plants found in a randomly located square sampling quadrate having area 1 m², so for region 1 there were 40 quadrates in which one plant was observed, etc.):