Sampling and hypothesis testing

There are 14 NRICH Mathematical resources connected to Sampling and hypothesis testing
Very old man
problem
Favourite

Very old man

Age
16 to 18
Challenge level
filled star empty star empty star
Is the age of this very old man statistically believable?
Reaction timer timer
problem
Favourite

Reaction timer timer

Age
16 to 18
Challenge level
filled star empty star empty star
How can you time the reaction timer?
Chi-squared faker
problem
Favourite

Chi-squared faker

Age
16 to 18
Challenge level
filled star filled star empty star
How would you massage the data in this Chi-squared test to both accept and reject the hypothesis?
Chance of that
problem

Chance of that

Age
16 to 18
Challenge level
filled star filled star filled star
What's the chance of a pair of lists of numbers having sample correlation exactly equal to zero?
A well-stirred sample
problem

A well-stirred sample

Age
16 to 18
Challenge level
filled star filled star empty star
Typical survey sample sizes are about 1000 people. Why is this?
Sleep: the silent killer
problem

Sleep: the silent killer

Age
16 to 18
Challenge level
filled star empty star empty star
"Too much sleep is deadly" proclaimed the newspaper headline. Is this true?
Powerful hypothesis testing
problem

Powerful hypothesis testing

Age
16 to 18
Challenge level
filled star filled star empty star
How effective are hypothesis tests at showing that our null hypothesis is wrong?
Hypothetical shorts
problem

Hypothetical shorts

Age
16 to 18
Challenge level
filled star filled star empty star
Some short statements about hypothesis testing: are they true, false, or somewhere in between?
Counting Fish
problem

Counting fish

Age
14 to 16
Challenge level
filled star empty star empty star
I need a figure for the fish population in a lake. How does it help to catch and mark 40 fish?
Snow and Cholera
problem

Snow and cholera

Age
14 to 16
Challenge level
filled star empty star empty star
What information helped medical pioneers decide on the cause of a disease? Especially in a time before microscopes were as powerful as they are today ?