Chapter 3
Single Population Mean, µ
Single Population Proportion, π
Single Population Variance,σ^2 & Standard Deviation,σ
Point Estimate
Confidence Interval for µ
Point estimate
Confidence Interval for π
From Chp 2
100(1-α)% CI for π is
Point Estimate for µ
The sample mean calculated or obtained from sample data, 𝒙' .
Unknown population
σ^2
σ
sample variance,s^2
standard deviation,s
Confidence Interval
σ^2
σ
Ratio of two unknown population variances & standard deviation
Alternative Expression for π
Alternative expressions for
100(1−𝛼)%CI for µ
f-score
A difference between two population means, µ1-µ2
Point estimate for µ1-µ2
The difference between two sample means calculated or
obtained from sample data, x1' - x2'
Confidence Interval for µ1-µ2
A difference between two population proportions, π1 - π2
F distribution
Point Estimate π
Point estimate
The difference between two sample proportions calculated or obtained from sample data,
σ^2
σ
ratio of two sample standard deviation
ratio of two sample variances
p1-p2
Confidence Interval for π1 - π2
confidence interval
σ
σ^2
100(1-α)% CI for π1-π2 is
Notes
n1 and n2 are large (≥ 30)
Only ONE (1) case
The sample proportion calculated or obtained from sample data
p = x/n
where x = the number of successes in sample
and, n : the sample size.
Notes
The sample size n is large
(i.e. n ≥ 30)
π is estimated by p
Only ONE (1) case