Writing to log directly for RPi-Monitor

My script is writing the data to log file directly to "/var/log/dht11.log".
Add the following line to CRON with "crontab -e" (example):
*/1     *       *       *       * sudo /home/pi/Adafruit_Python_DHT/examples/./AdafruitDHT.py 11 4 >/dev/null 2>&1
And rerun the CRON:
$ sudo service cron restart