According to researchers, the mean length of imprisonment for motor-vehicle-theft offenders in a nation is 16.8 months. One hundred randomly selected motor-vehicle-theft offenders in a city in the nation had a mean length of imprisonment of 17.5 months. At the 1% significance level, do the data provide sufficient evidence to conclude that the mean length of imprisonment for motor-vehicle-theft offenders in the city differs from the national mean? Assume that the population standard deviation of the lengths of imprisonment for motor-vehicle-theft offenders is 8.0 months. Click here to view page 1 of the table of areas under the standard normal curve. Click here to view page 2 of the table of areas under the standard normal curve. Set up the hypotheses for the one-mean z-test. H?: ? = H?: ? ? (Type integers or decimals. Do not round.)
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H₀: μ = 16.8 H₁: μ ≠ 16.8 Show more…
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Serving Time. According to the Bureau of Crime Statistics and Research of Australia, as reported on Lawlink, 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-vehicletheft offenders in Sydney differs from the national mean in Australia.
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