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. (a) Describe a Type I error.
(b) Give a consequence of making a Type I error.
(c) Describe a Type II error.
(d) Give a consequence of making a Type II error.
(e) Which error is more serious? Why?