
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
Given that $p$ is the proposition that the real number $t$ satisfies $t^{2}-5at+4a^{2} < 0$ (where $a \neq 0$), and $q$ is the proposition that the equation $\frac{x^{2}}{t-2}+ \frac{y^{2}}{t-6}=1$ represents a hyperbola.

(I) If $a=1$, and $p \land q$ is a true proposition, 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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