Question 1. 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: μ = 5 versus Ha: >5 or Ho : μ = 5 versus Ha: <5? Select the correct statement. (Hint: Think about the consequences of a type I and type II error for each possibility.] O One should test Ho: μ = 5 versus Ha μ< 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. One should test Ho : μ = 5 versus H₁ μ< 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 Ho: μ = 5 versus Ha> 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 Ho: μ = 5 versus Ha> 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

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STAT 3128
Homeowrk Section
Question 1. 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: μ = 5 versus Ha: > 5 or Ho μ = 5 versus Ha: μ< 5? Select the
correct statement. (Hint: Think about the consequences of a type I and type II error for
each possibility.]
O One should test Hoμ = 5 versus H₁ μ< 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.
One should test Ho: μ = 5 versus Ha: μ< 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.
One should test Ho: μ = 5 versus Ha> 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.
One should test Ho: μ = 5 versus Ha> 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:STAT 3128 Homeowrk Section Question 1. 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: μ = 5 versus Ha: > 5 or Ho μ = 5 versus Ha: μ< 5? Select the correct statement. (Hint: Think about the consequences of a type I and type II error for each possibility.] O One should test Hoμ = 5 versus H₁ μ< 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. One should test Ho: μ = 5 versus Ha: μ< 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. One should test Ho: μ = 5 versus Ha> 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. One should test Ho: μ = 5 versus Ha> 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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