5 Records show that the distance driven by a bus driver in a week is normally distributed with mean 1150 km and standard deviation 105 km . New driving regulations are introduced and in the next 20 weeks he drives a total of 21800 km .
- Stating any assumption(s), test, at the \(1 \%\) significance level, whether his mean weekly driving distance has decreased.
- A similar test at the \(1 \%\) significance level was carried out using the data from another 20 weeks. State the probability of a Type I error and describe what is meant by a Type I error in this context.
[0pt]
[2]