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According to researchers, the mean length of imprisonment for motor-vehicle-theft offenders in a nation is 16.5 months. One hundred randomly selected motor-vehicle-theft offenders in a city in the nation had a mean length of imprisonment of 17.6 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 6.0 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.

According to researchers, the mean length of imprisonment for motor-vehicle-theft offenders in a nation is 16.5 months. One hundred randomly selected motor-vehicle-theft offenders in a city in the nation had a mean length of imprisonment of 17.6 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 6.0 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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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 16.5 months. One hundred randomly selected motor-vehicle-theft offenders in a city in the nation had a mean length of imprisonment of 17.6 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 6.0 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. Ho: H (Type integers or decimals. Do not round.) The test statistic is z = (Round to two decimal places as needed.) Identify the critical value(s). Select the correct choice below and fill in the answer box within your choice. (Round to two decimal places as needed.) O A. The critical value is Za = B. The critical values are ±z«/2= ± O C. The critical value is - Za = the null hypothesis. The data sufficient evidence to conclude that the mean length of imprisonment for motor-vehicle-theft offenders in the city is 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 16.5 months. One hundred randomly selected motor-vehicle-theft offenders in a city in the nation had a mean length of imprisonment of 17.6 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 6.0 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. Ho: H (Type integers or decimals. Do not round.) The test statistic is z = (Round to two decimal places as needed.) Identify the critical value(s). Select the correct choice below and fill in the answer box within your choice. (Round to two decimal places as needed.) O A. The critical value is Za = B. The critical values are ±z«/2= ± O C. The critical value is - Za = the null hypothesis. The data sufficient evidence to conclude that the mean length of imprisonment for motor-vehicle-theft offenders in the city is the mean length of imprisonment for motor-vehicle-theft offenders in the nation.
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