Answered: Suppose that we are testing H0: μ = μ0…

Suppose that we are testing H0: μ = μ0 versus H1: μ ≠ μ0. Calculate the P-value for the following observed values of the test statistic. (a) Z0 = 2.25 (b) Z0 = 1.55 (c) Z0 = 2.10

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.3: Special Probability Density Functions

Problem 8E

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Question

Suppose that we are testing H₀: μ = μ₀versus H₁: μ ≠ μ₀. Calculate the P-value for the following observed values of the test statistic.

(a) Z₀= 2.25

(b) Z₀= 1.55

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Suppose that we are testing H0: μ = μ0 versus H1: μ ≠ μ0. Calculate the P-value for the following observed values of the test statistic: (a) Z0 = 1.95 (b) Z0 = -0.10
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?
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 Ha: µ > 4 where µ is the true mean radon level. Give a consequence of making a Type I error.