Solution
According to Windows Memory Diagnostic description, Windows Memory Diagnostic is limited to testing only the first 4 gigabytes (GB) of RAM. If you have more than 4 GB of RAM, the remaining RAM after the first 4 GB will not be tested by Windows Memory Diagnostic.
So Windows Memory Diagnostic cannot test 8GB RAM on the notebook.
For more info about the Windows Memory Diagnostic, please refer to the following Microsoft Website.
http://oca.microsoft.com/en/windiag.asp