Edexcel S3 2013 June — Question 2

Exam BoardEdexcel
ModuleS3 (Statistics 3)
Year2013
SessionJune
TopicCentral limit theorem
TypeFinding n from sample mean distribution

2. A random sample of size \(n\) is to be taken from a population that is normally distributed with mean 40 and standard deviation 3 . Find the minimum sample size such that the probability of the sample mean being greater than 42 is less than \(5 \%\).