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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 Milliliters Bottle Number Milliliters 1 2 3 352 352 349 11 12 13 351 350 347 Submit Question 4 5 357 352 6 348 7 8 9 10 348 347 349 341 14 15 16 17 18 19 20 346 348 360 347 340 341 340 a) Use the data shown above to construct a 97% 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. O 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.

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 3 352 352 349 11 12 13 351 350 347 Submit Question 4 5 357 352 6 348 7 8 9 10 348 347 349 341 14 15 16 17 18 19 20 346 348 360 347 340 341 340 a) Use the data shown above to construct a 97% 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. O 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.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 2EQ: 2. Suppose that in Example 2.27, 400 units of food A, 500 units of B, and 600 units of C are placed...
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Question 7 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 ¹). Bottle Number Milliliters < 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 > Submit Question 1 2 3 4 352 352 349 357 5 352 11 13 12 347 351 350 6 348 7 341 8 9 10 348 347 349 14 15 16 17 18 19 20 346 348 360 347 340 341 340 a) Use the data shown above to construct a 97% 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. O 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.
Transcribed Image Text:Question 7 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 ¹). Bottle Number Milliliters < 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 > Submit Question 1 2 3 4 352 352 349 357 5 352 11 13 12 347 351 350 6 348 7 341 8 9 10 348 347 349 14 15 16 17 18 19 20 346 348 360 347 340 341 340 a) Use the data shown above to construct a 97% 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. O 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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