CAIE S2 2011 November — Question 5 2 marks

Exam BoardCAIE
ModuleS2 (Statistics 2)
Year2011
SessionNovember
Marks2
TopicHypothesis test of a normal distribution

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 .
  1. Stating any assumption(s), test, at the \(1 \%\) significance level, whether his mean weekly driving distance has decreased.
  2. 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.
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