Pregunta editada

Cuando hago clic en el botón Eliminar, la fila de la tabla se elimina en la GUI pero no de la base de datos en el servidor mysql.

Aquí está el código:

// DatabaseStore. Esta parte funciona bien.

public class DatabaseStore {

     private final String server = "jdbc:mysql://localhost/";
    private final String database = "music_magic";
    private final String user_name = "root";
    private final String pass_word = "";

    private final String driver = "com.mysql.jdbc.Driver";

    public Connection doConnection() {
        Connection c;
        try {
            //load the driver
            Class.forName(driver);
            c = DriverManager.getConnection(server + database, user_name, pass_word);
           // JOptionPane.showMessageDialog(null, "Database connected");
        } catch (Exception e) {
            c = null;
            JOptionPane.showMessageDialog(null, "Error : " + e.getMessage());
        }
        return c;
    }

//

// Imports
import Database_music.DatabaseStore; //main database page where i connect to database
import java.sql.Connection;
import java.sql.SQLException;
import java.sql.Statement;
import javax.swing.JOptionPane;
import javax.swing.table.DefaultTableModel;
import magic_music.Items; //ignore this
//...

// Subject method
private void jButton1ActionPerformed(java.awt.event.ActionEvent evt) {
  // TODO add your handling code here:
  if(jTable1.getSelectedRow() >=0){
    try{
      DatabaseStore dtbs = new DatabaseStore();
      Connection cn = dtbs.doConnection();
      Statement stat = cn.createStatement();
      String sql = "DELETE FROM products_info WHERE Product_id ='"+jTable1.getSelectedRow() +"'";
      stat.executeUpdate(sql);
      DefaultTableModel model = (DefaultTableModel)jTable1.getModel();
      model.removeRow(jTable1.getSelectedRow());
    }
    catch (SQLException sqlException)
    {
      sqlException.printStackTrace();
      JOptionPane.showMessageDialog(null, "sql err");
    }
  } else {
    JOptionPane.showMessageDialog(null, "Please select an item to delete");
  }
}  

Por favor dime que estoy haciendo mal?