OCR S2 Specimen — Question 1

Exam BoardOCR
ModuleS2 (Statistics 2)
SessionSpecimen
TopicCentral limit theorem
TypeDistribution of sample mean

1 The standard deviation of a random variable \(F\) is 12.0. The mean of \(n\) independent observations of \(F\) is denoted by \(\bar { F }\).
  1. Given that the standard deviation of \(\bar { F }\) is 1.50 , find the value of \(n\).
  2. For this value of \(n\), state, with justification, what can be said about the distribution of \(\bar { F }\).