Let $\mu$ 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 $H _ { 0 } : \mu = 5$ versus $H _ { \pm } : \mu 5 \text { or } H _ { 0 } : \mu

Question

Let $\mu$ 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 $H _ { 0 } : \mu = 5$ versus $H _ { \pm } : \mu > 5 \text { or } H _ { 0 } : \mu < 5 ?$ Explain your reasoning. (Hint: Think about the consequences of a type I and type II error for each possibility.)

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The Answer of Let $\mu$ 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 $H _ { 0 } : \mu = 5$ versus $H _ { \pm } : \mu > 5 \text { or } H _ { 0 } : \mu < 5 ?$ Explain your reasoning. (Hint: Think about the consequences of a type I and type II error for each possibility.)

Let μ\muμ Denote the True Average Radioactivity Level (Picocuries Per Liter) H0:μ=5H _ { 0 } : \mu = 5H0​:μ=5

Let $\mu$ Denote the True Average Radioactivity Level (Picocuries Per Liter) $H _ { 0 } : \mu = 5$