Question: Serving time. According to the Bureau of Crime Statistics and Research of Australia, as reported by the website www.agd.nsw.gov.au, the mean length of imprisonment for motor-vehicle theft offenders in Australia is 16.7 months. You want to perform a hypothesis test to decide whether the mean length of imprisonment for motor-vehicle theft offenders in Sydney differs from the national mean in Australia. Part B) The null and alternative hypotheses obtained are Ho: \(\mu \) = 16.7 months Ha: \(\mu \) not= 16.7 months where u is the mean length of imprisonment for motor vehicle theft offenders in Sydney, Australia. Explain what each outcome would mean:

1. Type I error :
2. Type II error:
3. Correct decision.
4. Then, suppose the results carrying out the hypothesis test would lead to non-rejection of the null hypothesis. Classify that conclusion by error type or as a correct decision if in fact the mean length of imprisonment for motor vehicle theft offenders in Sydney equals 16.7 months and then does not equal 16.7 months.

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