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 a
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 90 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 β-value if the true mean is 7915? Round your answer to 3 decimal places (e.g. 98.765).
(c) What
(d) Find a 99% one-sided upper confidence bound on the true mean. Round your answer to 2 decimal places (e.g. 98.76).
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