The manufacturer of a particular brand of crackers claims that the mean weight for the boxes of crackers is 388 grams.To test this claim, a group of students carefully weighed the contents of 100 boxes, and found a mean weight of 380 grams with standard deviation 30 grams.We want to use this information to decide if the mean weight is less than 388 grams.

Construct a 95% confidence interval for the mean weight of these bags of crackers.

Please round your answers to two decimal places.