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Summary STK 110 Chapter 7 Notes (sampling)

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Course STK 110 (STK110)
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Notes on the theory section of chapter 7 of STK110, includes excel and examples using formula sheet.

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Sampling and Sampling Distributions
Chapter 7
Sampling from Finite 3. Cluster sampling
Population
Simple Random Sample of size n from
finite population of size N = sample
selected such that each possible
sample of size n has same probability
of being selected. (use excel RAND
function) read textbook
Sampling from Infinite
Population
Sample selected such that following
conditions = satisfied:
(1) Each element selected comes from
same population;
(2) Each element = selected
independently.
Parameter
Read textbook E.g. Acc 2 Census 2011 data, average
Types age = 25 yr - taking in2 account ALL
people in SA
1. Systematic random sampling
▪ FIXED value.
methods
▪ Parameter.
▪ Symbol is 𝜇.
Point Estimate
Value of sample statistic = used 2
estimate value of corresponding
population parameter.
e.g. Take representative sample -
2. Stratified random sampling average age = 22.6 years = point
estimate of overall average age
▪ Sample statistic.
▪ Symbol is 𝑥.ҧ
▪ A variable.
Estimator:
▪ Sample statistic used estimate
population parameter.
▪ Examples: 𝑥ҧ & s
Estimate:
▪ calculated value of sample statistic
used estimate population
parameter.
Connected book
image
David R. Anderson, Dennis J. Sweeney, Thomas A. Williams, Jeffrey D. Camm, James J. Cochran Modern Business Statistics with Microsoft Excel
Publisher: 2020 ISBN: 9780357131527 Edition: Unknown

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