Agent Smith
Full Member
- Joined
- Oct 18, 2023
- Messages
- 294
Desmos graph
In the graph above, \(\displaystyle y\) = Sample size and \(\displaystyle p\) = population size.
1. The 10% rule for ensuring the independence of trials
\(\displaystyle y \leq 0.1p\). Required for accuracy of the standard deviation (?)
2. The minimum sample size = \(\displaystyle 30\) so that we can have a normal sampling distribution
\(\displaystyle y \geq 30\). Required to ensure the sampling distribution is a normal distribution)
So ...
\(\displaystyle 0.1p \geq 30 \implies p \geq 300\)
To satisfy both conditions (which as far as I can tell is required in sampling distributions), the minimum size of the population \(\displaystyle p \geq 300\).
Am I supposed to interpret this as statistical questions are meaningless for populations < 300? That is to say to do statistics we need a population of at least 300?
In the graph above, \(\displaystyle y\) = Sample size and \(\displaystyle p\) = population size.
1. The 10% rule for ensuring the independence of trials
\(\displaystyle y \leq 0.1p\). Required for accuracy of the standard deviation (?)
2. The minimum sample size = \(\displaystyle 30\) so that we can have a normal sampling distribution
\(\displaystyle y \geq 30\). Required to ensure the sampling distribution is a normal distribution)
So ...
\(\displaystyle 0.1p \geq 30 \implies p \geq 300\)
To satisfy both conditions (which as far as I can tell is required in sampling distributions), the minimum size of the population \(\displaystyle p \geq 300\).
Am I supposed to interpret this as statistical questions are meaningless for populations < 300? That is to say to do statistics we need a population of at least 300?