Mathematics 9709 · AS & A Level · Hypothesis testing

Hypothesis testing — practice question

An architect wants to find out whether, on average, the buildings in one city are taller than those in other cities. He draws a large random sample of buildings from the city and calculates the mean height of the sample. He works out the test statistic, $z$, and obtains $z = 2.41$.
(a)[1]

Explain briefly whether he should use a one-tail test or a two-tail test.

(b)[3]

Carry out the test at the $1\%$ significance level.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: Use a one-tailed test because the question is about whether it is 'higher'

  • Full mark scheme, point by point
  • Step-by-step worked solution
  • Write your answer & get it marked instantly by AI