People who have COVID-19 test positive for the virus. A University student who does not have COVID-19, but is merely exhausted from studying for midterms and nursing a cold takes the diagnostic test, and the test result is positive. What type of error is this false positive – is it a Type I or Type II error?

People who have COVID-19 test positive for the virus. A University student who does not have COVID-19, but is merely exhausted from studying for midterms and nursing a cold takes the diagnostic test, and the test result is positive. What type of error is this false positive – is it a Type I or Type II error?

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 20E

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Draw the type I and type II error matrix and fill in each cell with the correct labels.
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A random selection of volunteers at a research institute have been exposed to a typical cold virus. After they started to have cold symptoms, 10 of them were given multivitamin tablets formulated to fight cold symptoms. The remaining 10 volunteers were given placebo tablets. For each individual, the length of time taken to recover from the cold is recorded. At the end of the experiment the following data are obtained. Days to recover from a cold Treated with multivitamin 2.6, 5.9, 5.3, 5.8, 8.7, 6.2, 7.6, 6.4, 8.0, 4.0 Treated with placebo 3.0, 5.1, 4.7, 4.2, 4.7, 5.6, 5.9, 4.7, 7.1, 4.9 It is known that the population standard deviation of recovery time from a cold is 1.8 days when treated with multivitamin tablets, and the population standard deviation of recovery time from a cold is 1.5 days when treated with placebo tablets. It is also known that both populations are approximately normally distributed. The researchers claim that the mean recovery time, l, of the patients treated…
A random selection of volunteers at a research institute have been exposed to a typical cold virus. After they started to have cold symptoms, 15 of them were given multivitamin tablets formulated to fight cold symptoms. The remaining 15 volunteers were given placebo tablets. For each individual, the length of time taken to recover from the cold is recorded. At the end of the experiment the following data are obtained. Days to recover from a cold Treated with multivitamin 8.2, 6.6, 2.7, 7.2, 4.5, 2.8, 5.3, 4.2, 6.3, 5.0, 5.5, 5.5, 6.1, 5.5, 5.0 Treated with placebo 3.8, 5.7, 7.4, 6.2, 6.0, 3.9, 2.1, 3.5, 1.4, 4.9, 5.7, 6.7, 4.2, 4.0, 3.8 Send data to calculator Send data to Excel It is known that the population standard deviation of recovery time from a cold is 1.8 days when treated with multivitamin tablets, and the population standard deviation of recovery time from a cold is 1.5 days when treated with placebo tablets. It is also known that both populations are approximately normally…
A random selection of volunteers at a research institute have been exposed to a typical cold virus. After they started to have cold symptoms, 15 of them were given multivitamin tablets formulated to fight cold symptoms. The remaining 15 volunteers were given placebo tablets. For each individual, the length of time taken to recover from the cold is recorded. At the end of the experiment the following data are obtained. Days to recover from a cold Treated with multivitamin 2.8, 5.9, 5.8, 7.9, 4.3, 8.0, 4.4, 2.7, 4.4, 7.3, 7.4, 6.6, 5.0, 9.5, 6.6 2.4, 5.1, 5.4, 7.0, 7.5, 5.3, 3.9, 5.8, 6.2, 3.5, 3.8, 2.9, 5.0, 6.2, 3.9 Treated with placebo Send data to calculator It is known that the population standard deviation of recovery time from a cold is 1.8 days when treated with multivitamin tablets, and the population standard deviation of recovery time from a cold is 1.5 days when treated with placebo tablets. It is also known that both populations are approximately normally distributed. The…
A random selection of volunteers at a research institute have been exposed to a typical cold virus. After they started to have cold symptoms, 15 of them were given multivitamin tablets formulated to fight cold symptoms. The remaining 15 volunteers were given placebo tablets. For each individual, the length of time taken to recover from the cold is recorded. At the end of the experiment the following data are obtained. Days to recover from a cold Treated with multivitamin 2.8, 5.9, 5.8, 7.9, 4.3, 8.0, 4.4, 2.7, 4.4, 7.3, 7.4, 6.6, 5.0, 9.5, 6.6 Treated with placebo 2.4, 5.1, 5.4, 7.0, 7.5, 5.3, 3.9, 5.8, 6.2, 3.5, 3.8, 2.9, 5.0, 6.2, 3.9 Send data to calculator It is known that the population standard deviation of recovery time from a cold is 1.8 days when treated with multivitamin tablets, and the population standard deviation of recovery time from a cold is 1.5 days when treated with placebo tablets. It is also known that both populations are approximately normally distributed. The…
A random selection of volunteers at a research institute have been exposed to a typical cold virus. After they started to have cold symptoms, 10 of them were given multivitamin tablets formulated to fight cold symptoms. The remaining 10 volunteers were given placebo tablets. For each individual, the length of time taken to recover from the cold is recorded. At the end of the experiment the following data are obtained. Days to recover from a cold Treated with multivitamin 5.4, 3.1, 8.1, 9.6, 6.2, 3.3, 2.6, 5.2, 5.6, 5.7 Treated with placebo |4.2, 6.4, 3.4, 2.4, 2.1, 4.0, 5.3, 5.5, 5.1, 4.1 Send data to calculator Send data to Excel It is known that the population standard deviation of recovery time from a cold is 1.8 days when treated with multivitamin tablets, and the population standard deviation of recovery time from a cold is 1.5 days when treated with placebo tablets. It is also known that both populations are approximately normally distributed. The researchers claim that the mean…