Edexcel S4 2016 June — Question 1

Exam BoardEdexcel
ModuleS4 (Statistics 4)
Year2016
SessionJune
TopicHypothesis test of a normal distribution

  1. A new diet has been designed. Its designers claim that following the diet for a month will result in a mean weight loss of more than 2 kg . In a trial, a random sample of 10 people followed the new diet for a month. Their weights, in kg, before starting the diet and their weights after following the diet for a month were recorded. The results are given in the table below.
Person\(A\)\(B\)\(C\)\(D\)\(E\)\(F\)\(G\)\(H\)\(I\)\(J\)
Weight before diet (kg)96110116981219198106110116
Weight after diet (kg)91101111961219190101104110
  1. Using a suitable \(t\)-test, at the \(5 \%\) level of significance, state whether or not the trial supports the designers’ claim. State your hypotheses and show your working clearly.
  2. State an assumption necessary for the test in part (a).