You work for the U.S. Food and Drug Administration. You have gotten word that a drug manufacturer is not accurately reporting the contents of their liquid cold medication. Under Federal Regulations, "Variations from stated quantity of contents shall not be unreasonably large" (see section q of the regulation by clicking here).

The company that produces the cold medication is claiming that each bottle contains 355 milliliters of cold medication, which is about 12 fluid ounces. In order to determine if they are accurate in their reporting, you decide to randomly select 20 different bottles of cold medication and measure the amount of cold medication in each bottle (in milliliters). The results of each sample are shown below.


Bottle Number 1 2 3 4 5 6 7 8 9 10
Milliliters 350 348 340 351 353 358 344 355 347 342

Bottle Number 11 12 13 14 15 16 17 18 19 20
Milliliters 343 358 347 349 358 353 342 357 340 348

a) Use the data shown above to construct a 98% confidence interval estimate for the mean amount of cold medication the company is putting in their bottles. Record the result below in the form of
(
#
,
#
)
. Round your final answer to two decimal places.