09 Conditions for inference for difference of means
09 Conditions for inference for difference of means#
import numpy as np
import pandas as pd
from pandas import Series, DataFrame
import matplotlib.pyplot as plt
import seaborn as sns
from scipy import stats, special
\[\begin{split}\begin{array}{ll}
(1)&\mbox{SRS}\\
(2)&\mbox{Independence}:\ \#\ \mbox{Sample} \le 10\%\ *\ \#\ \mbox{Population}\\
(3)&\mbox{Normality}:\ n\ge 30\mbox{, symmetric with small $n$, or normal} \\
\\
(1)&\mbox{SRS}:\ \mbox{Both samples are SRS}\\
(2)&\mbox{Independence}:\ \#\ \mbox{Sample}_i \le 10\%\ *\ \#\ \mbox{Population}_i\ \mbox{for both $i=1,2$}\\
(3)&\mbox{Normality}:\ n_i\ge 30\mbox{, symmetric with small $n_i$, or normal}\ \mbox{for both $i=1,2$}\\
\end{array}\end{split}\]
\[\begin{split}\begin{array}{ll}
(1)&\mbox{SRS}\\
(2)&\mbox{Independence}:\ \#\ \mbox{Sample} \le 10\%\ *\ \#\ \mbox{Population}\\
(3)&\mbox{Normality}:\ n\ge 30\mbox{, symmetric with small $n$, or normal} \\
\\
(1)&\mbox{SRS}\\
(2)&\mbox{Independence}:\ \#\ \mbox{Sample} \le 10\%\ *\ \#\ \mbox{Population}\\
(3)&\mbox{Normality}:\ n\ge 30\mbox{, symmetric with small $n$, or normal} \\
\end{array}\end{split}\]