MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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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
1
2
3
4
7
8
9.
10
Milliliters
360
359
349
355
353
356
360
353
355
351
Bottle Number
11
12
13
14
15
16
17
18
19
20
Milliliters
351
343
353
346
350
342
356
355
355
346
a) 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 (#, #). Round
your final answer to two decimal places.
b) Is the company putting the claimed 355 milliliters of cold medication in their bottles? Explain.
O 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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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 1 2 3 4 7 8 9. 10 Milliliters 360 359 349 355 353 356 360 353 355 351 Bottle Number 11 12 13 14 15 16 17 18 19 20 Milliliters 351 343 353 346 350 342 356 355 355 346 a) 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 (#, #). Round your final answer to two decimal places. b) Is the company putting the claimed 355 milliliters of cold medication in their bottles? Explain. O 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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