You work for the U.S. Food and Drug Administration. You have gotten word that a drug manufacturing is accurately reporting the contents of their liquid cold medication. Under Federal Regulations, "Variation 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 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 Milliliters 1 2 344 359 3 4 5 6 7 8 9 10 357 349 345 359 355 354 345 345 Bottle Number 11 12 Milliliters 13 14 15 16 17 18 19 20 355 353 360 344 355 342 353 354 350 346
You work for the U.S. Food and Drug Administration. You have gotten word that a drug manufacturing is accurately reporting the contents of their liquid cold medication. Under Federal Regulations, "Variation 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 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 Milliliters 1 2 344 359 3 4 5 6 7 8 9 10 357 349 345 359 355 354 345 345 Bottle Number 11 12 Milliliters 13 14 15 16 17 18 19 20 355 353 360 344 355 342 353 354 350 346
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
![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 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
Milliliters
Bottle Number
Milliliters
1 2 3 4 5 6 7 8 9
344 359 345 357 349 345
359
355
354
10
345
17
18 19
20
11 12 13 14 15 16
355 353 360 344 355 342 353 354 350 346
a) Use the data shown above to construct a 92% 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.
No, because 355 is inside the confidence interval.
No, because 355 is not inside the confidence interval.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdf994888-3eb2-4c1e-b55f-ddb7bf096411%2F319c7f4a-aee3-481a-8c12-bc650dc04405%2Fmle67q_processed.png&w=3840&q=75)
Transcribed Image Text: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 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
Milliliters
Bottle Number
Milliliters
1 2 3 4 5 6 7 8 9
344 359 345 357 349 345
359
355
354
10
345
17
18 19
20
11 12 13 14 15 16
355 353 360 344 355 342 353 354 350 346
a) Use the data shown above to construct a 92% 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.
No, because 355 is inside the confidence interval.
No, because 355 is not inside the confidence interval.
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