:l = 5 versus H: u > 5 or Hg: u = 5 versus H: H < 5? Explain your reasoning. [Hint: Think about O One should test Ho: H = 5 versus H: u > 5. A type II error in this case involves deciding the wa desirable. We prefer that the most serious error be a type II error because it can be explicitly co O One should test Ho: H = 5 versus H,i H < 5. A type 11 error in this case involves deciding the wa desirable. We prefer that the most serious error be a type II error because it can be explicitly co O One should test Ho: H = 5 versus H: u < 5. A type I error in this case involves deciding the wat desirable. We prefer that the most serious error be a type I error because it can be explicitly co O One should test Hatu 5 versue >5. A tvpe I error in this case involves deciding the wat

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Chapter1: Combinatorial Analysis
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Let u denote the true average radioactivity level (picocuries per liter). The value 5 pCi/L is considered the dividing line between safe and unsafe water. Would you recommend testing
Ho: u = 5 versus H: H > 5 or Ho: = 5 versus H: u < 5? Explain your reasoning. [Hint: Think about the consequences of a type I and type II error for each possibility.]
O One should test Ho: H = 5 versus H: u > 5. A type II error in this case involves deciding the water is safe when it isn't. This is a very serious error, so a test which ensures that this error is highly unlikely is
desirable. We prefer that the most serious error be a type II error because it can be explicitly controlled.
O One should test Hn: H = 5 versus H: u < 5. A type II error in this case involves deciding the water is safe when it isn't. This is a very serious error, so a test which ensures that this error is highly unlikely is
desirable. We prefer that the most serious error be a type II error because it can be explicitly controlled.
O One should test H: H = 5 versus H: u < 5. A type I error in this case involves deciding the water is safe when it isn't. This is a very serious error, so a test which ensures that this error is highly unlikely is
desirable. We prefer that the most serious error be a type I error because it can be explicitly controlled.
O One should test Hn: u = 5 versus H: u > 5. A type I error in this case involves deciding the water is safe when it isn't. This is a very serious error, so a test which ensures that this error is highly unlikely is
desirable. We prefer that the most serious error be a type I error because it can be explicitly controlled.
Transcribed Image Text:Let u denote the true average radioactivity level (picocuries per liter). The value 5 pCi/L is considered the dividing line between safe and unsafe water. Would you recommend testing Ho: u = 5 versus H: H > 5 or Ho: = 5 versus H: u < 5? Explain your reasoning. [Hint: Think about the consequences of a type I and type II error for each possibility.] O One should test Ho: H = 5 versus H: u > 5. A type II error in this case involves deciding the water is safe when it isn't. This is a very serious error, so a test which ensures that this error is highly unlikely is desirable. We prefer that the most serious error be a type II error because it can be explicitly controlled. O One should test Hn: H = 5 versus H: u < 5. A type II error in this case involves deciding the water is safe when it isn't. This is a very serious error, so a test which ensures that this error is highly unlikely is desirable. We prefer that the most serious error be a type II error because it can be explicitly controlled. O One should test H: H = 5 versus H: u < 5. A type I error in this case involves deciding the water is safe when it isn't. This is a very serious error, so a test which ensures that this error is highly unlikely is desirable. We prefer that the most serious error be a type I error because it can be explicitly controlled. O One should test Hn: u = 5 versus H: u > 5. A type I error in this case involves deciding the water is safe when it isn't. This is a very serious error, so a test which ensures that this error is highly unlikely is desirable. We prefer that the most serious error be a type I error because it can be explicitly controlled.
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