Ccording to researchers, the mean lengtn of imprisonment for motor-venicle-theit offenders in a fhation is 15.8 montns. One hundred randomly 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 lengt mprisonment for motor-vehicle-theft offenders in the city is 8.0 months. ck 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. nide-heit offenders in a city in the hation had a mean lengin of imprisonmer et up the hypotheses for the one-mean z-test Ho: L H, (Type integers or decimals. Do not round.) ne test statistic is z= Round to two decimal places as needed.) lentify 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.) OA. The critical value is z,= OB. The critical values are za/2= OC. The critical value is -z, = V the null hypothesis. The data V 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 Tenders in the nation.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 7PPS
icon
Related questions
icon
Concept explainers
Question
100%

6. Please answer

According to researchers, the mean length of imprisonment for motor-vehicle-theft offenders in a nation is 15.8 months. One hundred randomly selected motor-vehicle-theft offenders in a city in the nation had a mean length of imprisonment of 16.4 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 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.
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 z, =
O B. The critical values are tZ/2 = +
O C. The critical value
-Z. =
the null hypothesis. The data
sufficient evidence to conclude that the mean length of imprisonment for motor-vehicle-theft offenders in the city is
V 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 15.8 months. One hundred randomly selected motor-vehicle-theft offenders in a city in the nation had a mean length of imprisonment of 16.4 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 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. 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 z, = O B. The critical values are tZ/2 = + O C. The critical value -Z. = the null hypothesis. The data sufficient evidence to conclude that the mean length of imprisonment for motor-vehicle-theft offenders in the city is V the mean length of imprisonment for motor-vehicle-theft offenders in the nation.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Continuous Probability Distribution
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill