Use the data shown above to construct a 94% 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 (#, #), as shown in your calculator. Round your final answer to two decimal places.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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You work for the U.S. Food and Drug Administration. You have gotten word that a drug manufactoring 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
8
9.
10
Milliliters
355
350
340
349
355
353
355
342
346
358
Bottle Number
11
12
13
14
15
16
17
18
19
20
Milliliters
344
348
349
345
360
344
342
342
350
357
Use the data shown above to construct a 94% 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 (#, #), as
shown in your calculator. Round your final answer to two decimal places.
Transcribed Image Text:You work for the U.S. Food and Drug Administration. You have gotten word that a drug manufactoring 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 8 9. 10 Milliliters 355 350 340 349 355 353 355 342 346 358 Bottle Number 11 12 13 14 15 16 17 18 19 20 Milliliters 344 348 349 345 360 344 342 342 350 357 Use the data shown above to construct a 94% 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 (#, #), as shown in your calculator. Round your final answer to two decimal places.
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