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Sampling and Hypothesis Testing using the Normal Distribution: Generating Random Numbers

In this activity students are asked to challenge assumptions made surrounding the selection of random numbers. For simple random sampling every member of the population requires an equal chance of being chosen. Students are required to use this spreadsheet to investigate for numbers up to 30.

This resource...

Sampling and Hypothesis Testing using the Normal Distribution: Sample Mean Gap-Filler

In this activity, students are given a variety of normal distributions each containing missing numbers. Students are required to fit the given numbers into the correct place. This puzzle is designed to test students’ understanding of the mean and variance of the sample mean for a Normal distribution. A certain...

Sampling and Hypothesis Testing: Significance Levels

This activity is designed to deepen understanding of hypothesis testing. Students are presented with a coin which is suspected of being biased. A hypothesis test is set up. A results table is shown giving the significance of the result at different levels of significance for different outcomes. Students are...

Contingency Tables and the Chi-Squared Distribution: Test Table

During the statistics course, students will meet a range of different methods of hypothesis testing, all slightly different. The aim of this matching exercise is for students to create a table giving a variety of examples of situations in which a test may take place, the type of test which should be used in each...

Contingency Tables and the Chi-Squared Distribution: Defining the Chi-squared Distribution

In this activity students explore a spreadsheet which generates a chi-squared distribution with a specific degree of freedom. Students explore the differences in the distribution generated as the degree of freedom varies between 1 and 8. Students are required to find the mean and variance of a distribution with v...

Contingency Tables and the Chi-Squared Distribution: Chi-squared and Percentages

This activity is designed to enable students to appreciate that the chi-squared test can only be carried out using frequencies. This spreadsheet offers students the chance to play with percentages and other kinds of data to develop the understanding that the chi-squared test cannot be used with this data.

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Bivariate Data, Regression and Correlation: Ten-Point PMCC

In this activity, students are challenged to produce a scatter diagram consisting of ten points that give a product moment correlation coefficient of exactly 0.99. Students are expected to appreciate that the points will lie almost exactly on a straight line with at least one point being slightly out. The answer...

Bivariate Data, Regression and Correlation: Residuals

In this activity the goal is for students to understand how the regression line is chosen. Autograph has a built-in facility for showing the squares of the residuals and is required to make this task work. Students are asked to explore what the lines that give the sum of the y-on-x residuals equal to zero have in...

Markov Chains

A Markov chain is a mathematical system that undergoes transitions from one state to another, between a finite number of states.

This resource comprises a spreadsheet which allows students to enter values into the transition matrix and the initial state matrix of 2x2 and 3x3 matrices then perform a number of...

Efforts to increase students’ interest in STEM studies and careers: National measures taken by 30 countries, 2015 report

This publication is the latest in a series of reports about national efforts to increase students’ interest in pursuing Science, Technology, Engineering, and Mathematics (STEM) studies and careers.

 

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