id: 06135004
dt: j
an: 2013a.00776
au: Caudle, Kyle A.
ti: Using Monte Carlo simulation to teach confidence intervals.
so: Math. Comput. Educ. 42, No. 2, 140-144 (2008).
py: 2008
pu: MATYC Journal, Old Bethpage, NY
la: EN
cc: K75
ut: confidence intervals; teaching methods
ci:
li:
ab: From the introduction: The procedure for developing a confidence interval
is relatively straightforward to teach. The challenge for educators
generally lies not from teaching the mechanics of constructing a
confidence interval but in getting the student to grasp the correct
interpretation of the confidence interval. In most situations,
confidence intervals are constructed for population parameters which
are unknown. Thus, the student has no way of verifying whether their
confidence interval contains the true population parameter. This paper
uses Monte Carlo methods to determine confidence intervals for the
number $π$. This is a unique situation ‒ because we know the value
of $π$, and the student can verify whether or not $π$ is in the
confidence interval that was constructed.
rv: