8 The mean age of people attending a large concert is claimed to be 35 years.
A random sample of 100 people attending the concert was taken and their mean age was found to be 37.9 years.
- Given that the standard deviation of the ages of the people attending the concert is 12 years, test, at the \(1 \%\) level of significance, the claim that the mean age is 35 years.
(7 marks) - Explain, in the context of this question, the meaning of a Type II error.
(2 marks)