
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 an ellipse C: $$\frac {x^{2}}{a^{2}} + \frac {y^{2}}{b^{2}} = 1$$ ($a > b > 0$), with eccentricity $e = \frac { \sqrt {3}}{2}$. It is known that the distance from point P$(0, \frac {3}{2})$ to the right focus F of ellipse C is $\frac { \sqrt {57}}{2}$. Suppose a line passing through point P with an existing slope intersects ellipse C at points A and B, and the perpendicular bisector of segment AB intersects the x-axis at point Q.  
(I) Find the standard equation of ellipse C;  
(II) Find the range of values for the x-coordinate $x_0$ of point Q.

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