Certification Magazine conducted a salary survey of US IT (Information Technology) professionals, contacting a simple random sample of 7130 certified IT specialists. The sample average salary was $96,677. 

a. Estimate the average salary for the population of IT professionals represented by the sample. Use a 99% confidence level and assume the standard deviation for the population of IT salaries is known to be $8200. 

b. Carefully interpret the interval you produced in part a. 

c. For your interval in part a, identify the margin of error term and the standard error term.