Benzene is a toxic chemical used in the manufacturing of medicinal chemicals, dyes, artificial leather, and linoleum. A manufacturer claims that its exit water meets the federal regulation with a mean of less than 7980 ppm of benzene. To assess the benzene content of the exit water, 10 independent water samples were collected and found to have an average of 7912 ppm of benzene. Assume a known standard deviation of 70 ppm and use a significance level of 0.01. (a) Test the manufacturer's claim. Use the P-value approach. Round your answer to 5 decimal places (e.g. 98.76543). (b) What is the B-value if the true mean is 7915? Round your answer to 3 decimal places (e.g. 98.765). (c) What sample size would be necessary to detect a true mean of 7915 with a probability of at least 0.90? Round your answer up the nearest whole number, answer (d) Find a 99% one-sided upper confidence bound on the true mean. Round your answer to 2 decimal places (e.g. 98.76). exact.

Benzene is a toxic chemical used in the manufacturing of medicinal chemicals, dyes, artificial leather, and linoleum. A manufacturer claims that its exit water meets the federal regulation with a mean of less than 7980 ppm of benzene. To assess the benzene content of the exit water, 10 independent water samples were collected and found to have an average of 7912 ppm of benzene. Assume a known standard deviation of 70 ppm and use a significance level of 0.01. (a) Test the manufacturer's claim. Use the P-value approach. Round your answer to 5 decimal places (e.g. 98.76543). (b) What is the B-value if the true mean is 7915? Round your answer to 3 decimal places (e.g. 98.765). (c) What sample size would be necessary to detect a true mean of 7915 with a probability of at least 0.90? Round your answer up the nearest whole number, answer (d) Find a 99% one-sided upper confidence bound on the true mean. Round your answer to 2 decimal places (e.g. 98.76). exact.

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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Benzene is a toxic chemical used in the manufacturing of medicinal chemicals, dyes, artificial leather, and linoleum. A manufacturer claims that its exit water meets the federal regulation with a mean of less than 7980 ppm of benzene. To assess the benzene content of the
exit water, 10 independent water samples were collected and found to have an average of 7912 ppm of benzene. Assume a known standard deviation of 70 ppm and use a significance level of 0.01.
(a) Test the manufacturer's claim. Use the P-value approach. Round your answer to 5 decimal places (e.g. 98.76543).
(b) What is the B-value if the true mean is 7915? Round your answer to 3 decimal places (e.g. 98.765).
(c) what sample size would be necessary to detect a true mean of 7915 with a probability of at least 0.90? Round your answer up the nearest whole number, answer is exact.
(d) Find a 99% one-sided upper confidence bound on the true mean. Round your answer to 2 decimal places (e.g. 98.76).
(a) p-value =
be rejected
The null hypothesis
(b) 8 =
(c)
n3=
(d) ps

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