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Understanding Hypotheses
This article explores the process of making and testing hypotheses.
What's Your Mean?
Stage: 5
Challenge Level:
The probability density functions for two related, but unknown, distributions are given in the following accurately plotted chart.
It is known that the means of the distributions are whole numbers, and that the two pdfs only have a single turning point.
By numerically estimating the required integrals, what can you deduce with certainty about the two means?
Maths Supporting SET
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Experimental probability
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Probability distributions, expectation and variance
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Numerical integration
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Handling data
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Interpreting data
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Manipulating algebraic expressions/formulae
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Mathematical reasoning & proof
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Mathematical modelling
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Polynomials
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