The union of airline pilots wants to estimate the average yearly income of pilots. The union knows that the standard deviation of the salaries is $13,000. In a sample of 78 pilots, the average yearly income is $101,500. Construct a 98% confidence interval for the average yearly income of pilots.

• In blank #1 enter the upper limit of the confidence interval.
• In blank #2 enter the lower limit of the confidence interval.
• Is it reasonable to assume that the average yearly income for airline pilots is $103,000? Enter "yes" or "no" in blank #3.

(Round your answers to 2 decimal places and enter your answers as $12,345.67 including the $ sign.)