<?php
require 'src/CLTSimulator.php';
use Alexsoft\Statistics\CLT\CLTSimulator;
$sim = new CLTSimulator();
$numSamples = 10000; // Number of samples
$sampleSize = 30; // Size of each sample
$means = $sim->simulate($numSamples, $sampleSize);
$stats = $sim->statistics($means);
echo "Central Limit Theorem Simulation\n";
echo "Samples: $numSamples | Sample Size: $sampleSize\n\n";
echo "Mean of all sample means: {$stats['mean']} (theoretical = 3.5)\n";
echo "Standard deviation: {$stats['std_dev']}\n";
echo "Range: {$stats['min']} - {$stats['max']}\n";
?>
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