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ACMEM130

investigate the different kinds of samples; for example, systematic samples, self-selected samples, simple random samples

ACMEM131

investigate the advantages and disadvantages of these kinds of samples; for example, comparing simple random samples with self-selected samples.

ACMMM172

discuss sources of bias in samples, and procedures to ensure randomness

ACMMM175

examine the approximate normality of the distribution of \(\widehat p\) for large samples

ACMMM180

use simulation to illustrate variations in confidence intervals between samples and to show that most but not all confidence intervals contain \(p\)

ACMSM142

use simulation to illustrate variations in confidence intervals between samples and to show that most but not all confidence intervals contain \(\mu\)

ACMMM173

use graphical displays of simulated data to investigate the variability of random samples from various types of distributions, including uniform, normal and Bernoulli.

understand the concept of the sample proportion \(\widehat p\) as a random variable whose value varies between samples, and the formulas for the mean \(p\) and standard deviation \(\sqrt[{}]{(p(1-p)/n}\) of the sample proportion \(\widehat p\)

ACMSM137

examine the concept of the sample mean X as a random variable whose value varies between samples where X is a random variable with mean μ and the standard deviation σ

ACMSM139

simulate repeated random sampling, from a variety of distributions and a range of sample sizes, to illustrate the approximate standard normality of \(\frac{\overline X-\mu}{s/\sqrt[{}]n}\) for large samples \(\left(n\geq30\right)\), where \(s\) is the …

ACEEA107

engaging in group work to promote language learning

ACMEM118

work with the concepts of angle of elevation and angle of depression

ACEEA204

using strategies for planning and refining work such as editing for consistent use of common punctuation.

ACEEE056

using an effective editing processes and appropriate referencing in the presentation of work.

ACHAH344

The nature and contribution of other sources, to an understanding of Thucydides’ work and the Peloponnesian War

ACHAH346

Revised dating of decrees (for example Coinage and Thoudippus), and the implications for interpreting Thucydides’ work

ACSPH023

A system with thermal energy has the capacity to do mechanical work (that is, to apply a force over a distance); when work is done, the internal energy of the system changes

ACMSM138

simulate repeated random sampling, from a variety of distributions and a range of sample sizes, to illustrate properties of the distribution of \(\overline X\;\) across samples of a fixed size \(n\), including its mean \(\mu\), its standard deviation …

ACMSP293

Explore the variation of means and proportions of random samples drawn from the same population

Elaborations ScOT Terms

ACMSP293 | Content Descriptions | Year 8 | Mathematics | F-10 curriculum

ACHAH313

Ethical issues, including the Parthenon Sculptures controversy and the arguments for and against their return; debates about the extent of reconstruction, for example the work on the Stoa of Attalos, and the restoration work on the Acropolis; and access …

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