Suppose you are a quality control manager in a factory. You are experimenting with a new dispensing machine. You collect data from a random sample of 13 boxes filled by the machine. The weight of each box (in pounds) is as follows:

Hours

2.3

2.6

3

2.3

2.8

2

3

2

2.3

2.8

2

2.9

2.2

Construct a 98% confidence interval for the population mean weight. Enter your answer as an open-interval (i.e., parentheses example (5.2314,8.1245)) Round upper and lower bounds to 3 decimal places.