I have a challenge for you, this might be quite easy or quite difficult... as I neither know the answer nor have any idea of the solution. Sorry if it's too tough (or too easy)!

A grocer wants to compare the relative weight of apples and pears.

He starts weighing the fruit, and weighs 19 apples and 14 pears before he gets bored and checks his results.

Apple Weights (grams):

145,148,128,266,115,154,260,239,240,150,236,239,280,185,263,173,111,296,248

Pear Weights (grams):

140,142,148,121,130,124,141,130,149,121,124,128,121,143

So on average, apples weigh 204g and pears weigh 133g.

He concludes that on average apples weigh 34.8% more than pears.

The question is, how reliable is this result? (Could the reliability be expressed as a %? E.g could he be 95% sure that apples are (say) at least 33% bigger than pears?)

And how would the reliability vary if he included more or less apples and/or pears in the test?

Hope that made sense, thanks in advance for any ideas! :tup: