According to the Bureau of Crime Statistics and Research of Australia as reported on Lajwlink, the mean length of imprisonment for motor vehicle theft offenders in Australia is 16.7 months. Thirty randomly selected motor vehicle theft offenders in Sydney Australia had mean length of imprisonment of 17.8 months. The population standard deviation of the lengths of imprisonment for motor vehicle theft offenders in Sydney is 6.0 months. At 5% significance level, do the data provide sufficient evidence to conclude the mean value of imprisonment for motor vehicle theft offenders in Sydney differs from the national mean in Australia? а. Construct 99% confidence interval of the lengths of imprisonment for motor vehicle theft offenders in Sydney for true mean. b.

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According to the Bureau of Crime Statistics and Research of Australia as reported on Lajwlink, the mean length
of imprisonment for motor vehicle theft offenders in Australia is 16.7 months. Thirty randomly selected
motor vehicle theft offenders in Sydney Australia had mean length of imprisonment of 17.8 months.
The population standard deviation of the lengths of imprisonment for motor vehicle theft offenders in
Sydney is 6.0 months.
At 5% significance level, do the data provide sufficient evidence to conclude the mean value of
imprisonment for motor vehicle theft offenders in Sydney differs from the national mean in Australia?
а.
Construct 99% confidence interval of the lengths of imprisonment for motor vehicle theft offenders
in Sydney for true mean.
b.
Transcribed Image Text:According to the Bureau of Crime Statistics and Research of Australia as reported on Lajwlink, the mean length of imprisonment for motor vehicle theft offenders in Australia is 16.7 months. Thirty randomly selected motor vehicle theft offenders in Sydney Australia had mean length of imprisonment of 17.8 months. The population standard deviation of the lengths of imprisonment for motor vehicle theft offenders in Sydney is 6.0 months. At 5% significance level, do the data provide sufficient evidence to conclude the mean value of imprisonment for motor vehicle theft offenders in Sydney differs from the national mean in Australia? а. Construct 99% confidence interval of the lengths of imprisonment for motor vehicle theft offenders in Sydney for true mean. b.
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