Resources by Making Statistics Vital

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.

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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 using the Normal Distribution: Sampling

In this activity, students are given 100 natural numbers, all with value less than one hundred, and are asked to estimate the mean of the population by taking a number of samples, finding the mean of each sample and then finding the mean of the sample means.

This resource is part of the Making Stats Vital...

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...

The Normal Distribution: Adding Two Normal Distributions

In this activity students use the spreadsheet to simulate the generation of two normal distributions, each with different means and standard deviations. The spreadsheet models what happens when the two distributions are added together in order to explore whether the result is also normally distributed.

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The Normal Distribution: Parameter Gaps

In this activity students are set the challenge of finding missing values such that the mean and variance of a Poisson distribution, a Binomial distribution and a normal distribution makes sense. The solution sheet contains three possible solutions.

This resource is part of the Making Stats Vital collection...

The Normal Distribution: the Coffee Problem

In this activity, students are posed the problem of how a coffee machine should be adjusted to meet certain criteria by either adjusting the mean value of the coffee produced or adjusting the standard deviation. The presentation ends showing the solution to the problem.

This resource is part of the Making...

The Poisson Distribution: a Close Approximation

In this activity, students are presented with a case in which the calculate probability is calculated using the Binomial and then the Poisson distribution. Each method produces results close to each other. Students are set the task of finding the value for n used. Subsequent slides reveal the solution.

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The Poisson Distribution: Adding Two Poisson Distributions

In this resource, students consider whether two Poisson distributions can be added together to form a third Poisson distribution. The initial, discussion generating proposition is backed up by a proof. The resource also contains an accompanying spreadsheet on which students can run simulations to test the result....

The Poisson Distribution: Poisson or Not?

In this resource, students are asked to consider data set in which the value of the mean is very close to the value of the variance. The aim of the resource is for students to understand that whilst mean being equal to variance indicates that the distribution may be a Poisson distribution that this not true in all...