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The chemical benzene is highly toxic to humans. However, it is used in manufacture of many medicine dyes, leather, and coverings. Governme regulations dictate that for any production process involving benzene, water in the output of the process must not exceed 7,950 parts per mill (ppm) of benzene. For a particular process of concern, the water samp was collected by a manufacturer 25 times randomly and the sam average x was 7960 ppm. It is known from historical data that the stand deviation o is 100 ppm. (a) What is the probability that the sample average in this experiment wo exceed the government limit if the population mean is equal to the limit (b) Is an observed = 7960 in this experiment a firm evidence that population mean for the process exceeds the government limit? Assur that the distribution of benzene concentration is normal.

The chemical benzene is highly toxic to humans. However, it is used in manufacture of many medicine dyes, leather, and coverings. Governme regulations dictate that for any production process involving benzene, water in the output of the process must not exceed 7,950 parts per mill (ppm) of benzene. For a particular process of concern, the water samp was collected by a manufacturer 25 times randomly and the sam average x was 7960 ppm. It is known from historical data that the stand deviation o is 100 ppm. (a) What is the probability that the sample average in this experiment wo exceed the government limit if the population mean is equal to the limit (b) Is an observed = 7960 in this experiment a firm evidence that population mean for the process exceeds the government limit? Assur that the distribution of benzene concentration is normal.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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The chemical benzene is highly toxic to humans. However, it is used in the manufacture of many medicine dyes, leather, and coverings. Government regulations dictate that for any production process involving benzene, the water in the output of the process must not exceed 7,950 parts per million (ppm) of benzene. For a particular process of concern, the water sample was collected by a manufacturer 25 times randomly and the sample average x was 7960 ppm. It is known from historical data that the standard deviation o is 100 ppm. (a) What is the probability that the sample average in this experiment would exceed the government limit if the population mean is equal to the limit? (b) Is an observed x = 7960 in this experiment a firm evidence that the population mean for the process exceeds the government limit? Assume that the distribution of benzene concentration is normal.
Transcribed Image Text:The chemical benzene is highly toxic to humans. However, it is used in the manufacture of many medicine dyes, leather, and coverings. Government regulations dictate that for any production process involving benzene, the water in the output of the process must not exceed 7,950 parts per million (ppm) of benzene. For a particular process of concern, the water sample was collected by a manufacturer 25 times randomly and the sample average x was 7960 ppm. It is known from historical data that the standard deviation o is 100 ppm. (a) What is the probability that the sample average in this experiment would exceed the government limit if the population mean is equal to the limit? (b) Is an observed x = 7960 in this experiment a firm evidence that the population mean for the process exceeds the government limit? Assume that the distribution of benzene concentration is normal.
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