Radon is a colorless, odorless, invisible gas that seeps into residential homes and has been linked to lung cancer. A generally acceptable safe level of radon is 4 pCi/L. A radon detection device measures the radon level once per hour at a randomly selected time throughout a one-week period. Then it calculates the mean radon level for the sample of measurements. Based on the sample results, the device performs a test of H0: µ = 4 versus Ha : µ > 4, where µ is the true mean radon level. (c) Describe a Type II error. (d) Give a consequence of making a Type II error. (e) Which error is more serious? Why?
Radon is a colorless, odorless, invisible gas that seeps into residential homes and has been linked to lung cancer. A generally acceptable safe level of radon is 4 pCi/L. A radon detection device measures the radon level once per hour at a randomly selected time throughout a one-week period. Then it calculates the mean radon level for the sample of measurements. Based on the sample results, the device performs a test of H0: µ = 4 versus Ha : µ > 4, where µ is the true mean radon level. (c) Describe a Type II error. (d) Give a consequence of making a Type II error. (e) Which error is more serious? Why?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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Radon is a colorless, odorless, invisible gas that seeps into residential homes and has been linked to lung cancer. A generally acceptable safe level of radon is 4 pCi/L. A radon detection device measures the radon level once per hour at a randomly selected time throughout a one-week period. Then it calculates the mean radon level for the sample of measurements. Based on the sample results, the device performs a test of H0: µ = 4 versus Ha : µ > 4, where µ is the true mean radon level.
(c) Describe a Type II error.
(d) Give a consequence of making a Type II error.
(e) Which error is more serious? Why?
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