Mathematics (AS & A Level) · Oct / Nov 2024 · Paper 61 · Question 5

The lengths, in centimetres, of worms of a certain kind are normally distributed with mean n and standard deviation 2.3 . An article in a magazine states that the value of n is 12.7 . A scientist wishes to test whether this value is correct. He measures the lengths, x cm, of a random sample of 50 worms of this kind and finds that . x 597 1 = / . He plans to carry out a test, at the 1% significance level, of whether the true value of n is different from 12.7 .

Read automatically from the paper; the printed page above is exact.