😥 FORMULA SHEET 1 😖
CHAPTER 6
Binomial Formula
px
Mean and Standard Deviation of a Binomial Random
Variable
n
Cx p x 1 p
np and
x
n x
np 1 p
x
CHAPTER 7
Mean and Standard Error (Standard Deviation) of the
Sampling Distribution of x
Mean and Standard Error (Standard Deviation) of the
Sampling Distribution of p̂
and
x
p;
pˆ
x
n
p1 p
n
pˆ
CHAPTER 8
Confidence Interval for
when
is known:
Sample size required to estimate a population mean
when is known:
Confidence Interval for
when
is unknown:
Confidence Interval for a Population Proportion
Sample size required to estimate a population
proportion when p̂ is known.
(When p̂ is unknown, use 0.5 for p̂ )
x (z critical value)
z
n
/2
m
pˆ ( z critical value)
n
pˆ 1
pˆ
n 1 s2
z
pˆ (1 pˆ )
n
2
/2
m
n 1 s2
2
2
R
L
CHAPTER 9
Test Statistic for a mean, standard deviation known
s
n
x (t critical value)
Confidence Interval for the Standard Deviation of a
Normal Distribution
Test Statistic for a mean, standard deviation known
n
2
z
t
x
0
/ n
x
0
s/ n