According to researchers, the mean length of imprisonment for motor-vehicle-theft offenders in a nation is 16.6 months. One hundred randomly selected motor-vehicle-theft offenders in a city in the nation had a mean length of imprisonment of 17.3 months. At the 10% 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 in the city is 4.0 months. Set up the hypotheses for the one-mean z-test. Hoi Ha: H (Type integers or decimals. Do not round.) The test statistic is z =. (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.) the null hypothesis. The data motor-vehicle-theft offenders in the city is sufficient evidence to conclude that the mean length of imprisonment for the mean length of imprisonment for motor-vehicle-theft offenders in the nation.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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According to researchers, the mean length of imprisonment for motor-vehicle-theft offenders in a nation is 16.6 months. One hundred randomly selected
motor-vehicle-theft offenders in a city in the nation had a mean length of imprisonment of 17.3 months. At the 10% 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 in the city is 4.0 months.
Set
up the hypotheses for the one-mean z-test.
HoH
Ha: H
(Type integers or decimals. Do not round.)
The test statistic is z=
(Round to two decimal places as needed.)
The P-value is
(Round to three decimal places as needed.)
the null hypothesis. The data
motor-vehicle-theft offenders in the city is
sufficient evidence to conclude that the mean length of imprisonment for
the mean length of imprisonment for motor-vehicle-theft offenders in the nation.
Transcribed Image Text:According to researchers, the mean length of imprisonment for motor-vehicle-theft offenders in a nation is 16.6 months. One hundred randomly selected motor-vehicle-theft offenders in a city in the nation had a mean length of imprisonment of 17.3 months. At the 10% 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 in the city is 4.0 months. Set up the hypotheses for the one-mean z-test. HoH Ha: H (Type integers or decimals. Do not round.) The test statistic is z= (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.) the null hypothesis. The data motor-vehicle-theft offenders in the city is sufficient evidence to conclude that the mean length of imprisonment for the mean length of imprisonment for motor-vehicle-theft offenders in the nation.
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