Chapter 3

Single Population Mean, µ

Single Population Proportion, π

Single Population Variance,σ^2 & Standard Deviation,σ

Point Estimate

Confidence Interval for µ


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Point estimate

Confidence Interval for π
From Chp 2
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100(1-α)% CI for π is
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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

confidencevariance-56a8faa13df78cf772a26ed8 (1)

σ

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Ratio of two unknown population variances & standard deviation

Alternative Expression for π
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Alternative expressions for
100(1−𝛼)%CI for µ


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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

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A difference between two population proportions, π1 - π2

F distribution

F-distribution

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Point Estimate π

Point estimate

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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

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p1-p2

Confidence Interval for π1 - π2

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confidence interval

σ

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σ^2

100(1-α)% CI for π1-π2 is

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Screenshot (51)

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