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 5 6 7 8 9 10 Milliliters 346 358 360 341 343 350 349 355 351 342 Bottle Number 11 12 13 14 15 16 17 18 19 20 Milliliters 351 349 359 340 354 350 350 355 340 352 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. 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.

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	1	2	3	4	5	6	7	8	9	10
Milliliters	346	358	360	341	343	350	349	355	351	342

Bottle Number	11	12	13	14	15	16	17	18	19	20
Milliliters	351	349	359	340	354	350	350	355	340	352

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.