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Acrylamide (a possible cancer-causing substance) forms in high-carbohydrate foods cooked at high temperatures and acrylamide levels can vary widely even within the same type of food. An article appearing in the journal Food Chemistry included the following acrylamide content (in nanograms/gram) for seven brands of biscuits.t 499 191 328 155 327 245| 270 n USE SALT (a) Calculate the mean acrylamide level (in ppb). (Round your answer to four decimal places.) 287.8571 ppb Calculate the seven deviations (in ppb) from the mean. (Round your answers to four decimal places.) Value (ppb) Deviation (ppb) 499 211.1429 191 -96.8571 328 40.1429 155 -132.8571 327 39.1429 245 -42.8571 270 -17.8571 (b) Verify that, except for the effect of rounding, the sum of the deviations from the mean is equal to 0 for this data set. (If you rounded the sample mean or the deviations, your sum may not be exactly zero, but it should be close to zero if you have calculated the deviations correctly. Round your answer to four decimal places.) The sum of the deviations in ppb from the mean is 0 v ppb. (c) Calculate the variance and standard deviation (in ppb) for this data set. (Round your answers to four decimal places.) variance 10987,5510 standard deviation 104.8215 X ppb

Acrylamide (a possible cancer-causing substance) forms in high-carbohydrate foods cooked at high temperatures and acrylamide levels can vary widely even within the same type of food. An article appearing in the journal Food Chemistry included the following acrylamide content (in nanograms/gram) for seven brands of biscuits.t 499 191 328 155 327 245| 270 n USE SALT (a) Calculate the mean acrylamide level (in ppb). (Round your answer to four decimal places.) 287.8571 ppb Calculate the seven deviations (in ppb) from the mean. (Round your answers to four decimal places.) Value (ppb) Deviation (ppb) 499 211.1429 191 -96.8571 328 40.1429 155 -132.8571 327 39.1429 245 -42.8571 270 -17.8571 (b) Verify that, except for the effect of rounding, the sum of the deviations from the mean is equal to 0 for this data set. (If you rounded the sample mean or the deviations, your sum may not be exactly zero, but it should be close to zero if you have calculated the deviations correctly. Round your answer to four decimal places.) The sum of the deviations in ppb from the mean is 0 v ppb. (c) Calculate the variance and standard deviation (in ppb) for this data set. (Round your answers to four decimal places.) variance 10987,5510 standard deviation 104.8215 X ppb

Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter29: Tolerance, Clearance, And Interference
Section: Chapter Questions
Problem 16A: Spacers are manufactured to the mean dimension and tolerance shown in Figure 29-12. An inspector...
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Acrylamide (a possible cancer-causing substance) forms in high-carbohydrate foods cooked at high temperatures and acrylamide levels can vary widely even within the same type of food. An article appearing in the journal Food Chemistry included the following acrylamide content (in nanograms/gram) for seven brands of biscuits.† 499 191 328 155 327 245 270 n USE SALT (a) Calculate the mean acrylamide level (in ppb). (Round your answer to four decimal places.) 287.8571 ppb Calculate the seven deviations (in ppb) from the mean. (Round your answers to four decimal places.) Value (ppb) Deviation (ppb) 499 211.1429 191 -96.8571 328 40.1429 155 -132.8571 327 39.1429 245 -42.8571 270 -17.8571 (b) Verify that, except for the effect of rounding, the sum of the deviations from the mean is equal to 0 for this data set. (If you rounded the sample mean or the deviations, your sum may not be exactly zero, but it should be close to zero if you have calculated the deviations correctly. Round your answer to four decimal places.) The sum of the deviations in ppb from the mean is 0 ppb. (c) Calculate the variance and standard deviation (in ppb) for this data set. (Round your answers to four decimal places.) variance 10987.5510 standard deviation 104.8215 X ppb
Transcribed Image Text:Acrylamide (a possible cancer-causing substance) forms in high-carbohydrate foods cooked at high temperatures and acrylamide levels can vary widely even within the same type of food. An article appearing in the journal Food Chemistry included the following acrylamide content (in nanograms/gram) for seven brands of biscuits.† 499 191 328 155 327 245 270 n USE SALT (a) Calculate the mean acrylamide level (in ppb). (Round your answer to four decimal places.) 287.8571 ppb Calculate the seven deviations (in ppb) from the mean. (Round your answers to four decimal places.) Value (ppb) Deviation (ppb) 499 211.1429 191 -96.8571 328 40.1429 155 -132.8571 327 39.1429 245 -42.8571 270 -17.8571 (b) Verify that, except for the effect of rounding, the sum of the deviations from the mean is equal to 0 for this data set. (If you rounded the sample mean or the deviations, your sum may not be exactly zero, but it should be close to zero if you have calculated the deviations correctly. Round your answer to four decimal places.) The sum of the deviations in ppb from the mean is 0 ppb. (c) Calculate the variance and standard deviation (in ppb) for this data set. (Round your answers to four decimal places.) variance 10987.5510 standard deviation 104.8215 X ppb
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