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Understanding Hypotheses

This article explores the process of making and testing hypotheses.

What's Your Mean?

Age 16 to 18 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?