Problem 5) (6 points) The mean weekly salaries of employees at a certain corporation at two of its plants (denoted by plant 1 and plant 2) are being studied. It is assumed that the mean weekly salaries of employees are normally distributed at both plants with a standard deviation of o = 200 dollars at plant 1 and standard deviation of a = 270 dollars at plant 2. A random sample of ni= 20 workers at the plant 1 showed an average weekly worker salary of x=800 dollars and a random sample of n2 = 30 workers at plant 2 indicated an average weekly worker salary of x=900 dollars. Construct a 97% two-sided confidence interval on the difference in mean weekly salaries of workers at the two plants. (Round your answers to 2 decimal places) (Show work).