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### Number and algebra

### Geometry and measure

### Probability and statistics

### Working mathematically

### Advanced mathematics

### For younger learners

# Very Old Man

### Why do this problem?

This problem
provides an excellent scenario for making and testing statistical
hypothesis. It can be attempted at a variety of levels of
statistical sophistication ranging from making sense of the data to
a full statistical analysis.
### Possible approach

### Key questions

### Possible extension

### Possible support

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### Chi-squared Faker

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Age 16 to 18

Challenge Level

- Problem
- Getting Started
- Student Solutions
- Teachers' Resources

There is quite a lot of information in this problem to digest.
Students might need to spend some time reading through the problem
and making sense of the data. It would work best as a homework or
task where students are given time to think about the problem and
then to come up with their own analysis. Students could then
compare their answers at a later time. From these, the concensus
for a 'best' analysis might emerge.

Before starting this problem, how might we organise or
represent the data? Are you clear as to how we might test the
hypothesis?

This question naturally raises its own extension: students
might try to improve their answers by searching for more data on in
the internet. pose their own questions, make their own hypothesis
or pursue similar ideas through the materials on the Understanding
Uncertainty site.

Suggest students simply make plots of the life expectancy data
and extrapolate these graphs.

How would you massage the data in this Chi-squared test to both accept and reject the hypothesis?

What's the chance of a pair of lists of numbers having sample correlation exactly equal to zero?