Sampling distributions?

The homework question: The distribution of young adult partners ratings of how satisfied they are with their relatinships is skewed to the left, with μ= 8.4 and σ=1.2 on a scale of 0-10. These values are not known by a sociologist who takes a random sample of four young adults residing together in households to estimate the mean partner satisfaction rating of young adults.

a. What is the mean and standard error of the sampling distribution of the sample mean?

[My answer: I think. μ=8.4 and the standard error = σ/√n = 1.2/√400 =0.06]

Did I get the answer right? They were asking for the sample mean and μ is a notation for the population mean so I'm a little unsure

b. What proportion of the sample means will be more than the population mean?

[I'm a little sure of what they're asking. If there are repeated samples of a certain size (n), then the observations begin to take shape of a normal distribution, so.... I can't make the connection. ]

Any clarification would be awesome