Adjust for Skewness and Kurtosis in Excel

Bear with me, as I'm a novice here.

If I have a distribution which is approximately normal, with just a slight skew and kurtosis, can I somehow adjust for that?

Say, I have the following aggregate numbers from the population data, but I don't have the actual detailed data they were generated from:
Mean: 12,210
Standard deviation: 2,080
Skewness: -0.036
Excess Kurtosis: 0.787

If I want to find where 95% of values surrounding the mean lie (is this called the confidence interval for the population mean?), without adjusting for skew and kurtosis, I would use something like:
=NORMINV(0.025, 12210, 2080)
=NORMINV(0.975, 12210, 2080)
...right?

Now, how would I adjust those values for skew and kurtosis?

Again, I'm a novice at this, so please correct me if I've done anything fundamentally wrong.
.

Relevant Pages

  • Re: Luck and
    ... non-stationary, large deviations, and similar concepts. ... I even think I know what it means that my profit has been rising slightly at the same time that my stddev is declining slowly. ... skew is nearly -0.0 and kurtosis is just barely positive. ...
    (rec.gambling.poker)
  • Re: Adjust for Skewness and Kurtosis in Excel
    ... If I have a distribution which is approximately normal, with just a slight skew and kurtosis, can I somehow adjust for that? ... Lacking access to raw data, ...
    (sci.stat.math)
  • Re: OT: Even discussing IQs in the range of 200 is absurd
    ... skewed and/or flat/peaked distribution curve. ... You can throw around words like skew and kurtosis all you like. ... See if you think there is no face validity for extremely high scores. ...
    (rec.gambling.poker)
  • Re: Contradictory tests of normality
    ... A histogram shows virtually no left tail, ... positive skew and negative kurtosis. ... rejects normality, ...
    (sci.stat.consult)