You work for the U. S. Food and Drug Administration. You have gotten word that a drug manufacturing 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 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
2 3 5 6 7 8 9 10
Milliliters 349 350 343
353 346 344 343 342 352
1
4
342
Bottle Number
Milliliters
11
351
12
345
13
341
14
343
15
345
16
358
17
342
18
346
19
346
20
350
a) Use the data shown above to construct a 96% 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.
b) Is the company putting the claimed 355 milliliters of cold medication in their bottles?
Explain.
Yes, because 355 is inside of the confidence interval.
Yes, because 355 is not inside the confidence interval.
O No, because 355 is inside the confidence interval.
O No, because 355 is not inside the confidence interval.
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