MacBook – Upgrading MacBook with Crucial RAM sticks

Your system identifies the RAM correctly:

Memory Module: BANK 0/DIMM0, 4 GB, DDR3, 1333 MHz, 0x01BA, 0x202020202020202020202020202020202020 Memory Module: BANK 1/DIMM0, 4 GB, DDR3, 1333 MHz, 0x01BA, 0x202020202020202020202020202020202020

However, there is another problem with your

AppleIDAuthAgent

Try fixing it with this:

1. Restart system in safe mode.

2. If that does not work restart in repair mode ⌘ + R.

MacBooks with replaceable RAM use typical DDR3 like any other PC laptop.

From http://support.apple.com/kb/SP644:

1333MHz DDR3 SDRAM; supports up to 8GB

The RAM you linked to:

• DDR3 SDRAM
• Memory Speed 1333 MHz ( PC3-10600 )

I cannot guarantee that your MacBook will be able to address all 16GB, since the technical specifications claim the maximum supported amount is 8GB. However, I've seen several cases in which the upper bound Apple lists as "supported" is incorrect, so it's worth a shot. Make sure the RAM you buy has a decent return policy, in case your MacBook can't use more than 8GB as per the technical specifications.