
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]


system
Let p: The real number $t$ satisfies $t^2 - 5at + 4a^2 < 0$ (where $a \neq 0$), q: The equation $\frac{x^2}{t-2} + \frac{y^2}{t-6} = 1$ represents a hyperbola.  
(I) If $a=1$, and both p and q are true, find the range of values for the real number $t$;  
(II) If q is a sufficient condition for p, find the range of values for the real number $a$.

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