
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


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The sound level $Y$ (in decibels) is given by the formula $Y=10\log ( \frac {I}{10^{-12}})$, where $I$ is the sound intensity $((\text{in units of }W/m^{2}).$

$(1)$ During normal conversation, the sound intensity is approximately $10^{-6}W/m^{2}$. Calculate the corresponding sound level.

$(2)$ The lowest sound level that an average person can hear is $0$ decibels. Calculate the corresponding sound intensity.

$(3)$ An ideal sleeping environment requires a sound level $Y\leqslant 50$ decibels. Given that the sound intensity after two students in a dormitory turn off the lights and start talking is $5×10^{-7}W/m^{2}$, will these two students affect the rest of other students?

Present the answer in LaTex format: \boxed{Your answer}
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