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According to researchers, the mean length of imprisonment for motor-vehicle-theft offenders in a nation is 17.2 months. One hundred randomly selected motor-vehicle-theft offenders in a city in the nation had a mean length of imprisonmen of 18.2 months. At the 5% 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 V (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 value is z, =. O c. The critical values are ±Z,/2 = - 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 V the mean length of imprisonment for motor-vehicle-theft offenders in the nation.

According to researchers, the mean length of imprisonment for motor-vehicle-theft offenders in a nation is 17.2 months. One hundred randomly selected motor-vehicle-theft offenders in a city in the nation had a mean length of imprisonmen of 18.2 months. At the 5% 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 V (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 value is z, =. O c. The critical values are ±Z,/2 = - 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 V the mean length of imprisonment for motor-vehicle-theft offenders in the nation.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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**Title: Hypothesis Testing for Mean Length of Imprisonment** **Problem Statement:** According to researchers, the mean length of imprisonment for motor-vehicle-theft offenders in a nation is 17.2 months. One hundred randomly selected motor-vehicle-theft offenders in a city in the nation had a mean length of imprisonment of 18.2 months. At the 5% 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. **Step-by-Step Process:** 1. **Set up the hypotheses for the one-mean z-test:** - **Null Hypothesis (H₀):** μ = [Drop-down option for national mean] - **Alternative Hypothesis (Hₐ):** μ ≠ [Drop-down option for national mean] *(Type integers or decimals. Do not round.)* 2. **Calculate the test statistic z:** - Enter the value of z: [Box for numerical input] *(Round to two decimal places as needed.)* 3. **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.)* - **A.** The critical value is –zᵦ = [Box for numerical input] - **B.** The critical value is zᵦ = [Box for numerical input] - **C.** The critical values are ± zᵦ/2 = ± [Box for numerical input] 4. **Decision:** - [Drop-down option] the null hypothesis. The data [drop-down option] sufficient evidence to conclude that the mean length of imprisonment for motor-vehicle-theft offenders in the city is [drop-down option] the mean length of imprisonment for motor-vehicle-theft offenders in the nation. **Links for Reference:** - 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. *Note: The interface provides drop-down menus and spaces for numerical input where needed. This interactive section facilitates learning by allowing users to understand and apply hypothesis
Transcribed Image Text:**Title: Hypothesis Testing for Mean Length of Imprisonment** **Problem Statement:** According to researchers, the mean length of imprisonment for motor-vehicle-theft offenders in a nation is 17.2 months. One hundred randomly selected motor-vehicle-theft offenders in a city in the nation had a mean length of imprisonment of 18.2 months. At the 5% 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. **Step-by-Step Process:** 1. **Set up the hypotheses for the one-mean z-test:** - **Null Hypothesis (H₀):** μ = [Drop-down option for national mean] - **Alternative Hypothesis (Hₐ):** μ ≠ [Drop-down option for national mean] *(Type integers or decimals. Do not round.)* 2. **Calculate the test statistic z:** - Enter the value of z: [Box for numerical input] *(Round to two decimal places as needed.)* 3. **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.)* - **A.** The critical value is –zᵦ = [Box for numerical input] - **B.** The critical value is zᵦ = [Box for numerical input] - **C.** The critical values are ± zᵦ/2 = ± [Box for numerical input] 4. **Decision:** - [Drop-down option] the null hypothesis. The data [drop-down option] sufficient evidence to conclude that the mean length of imprisonment for motor-vehicle-theft offenders in the city is [drop-down option] the mean length of imprisonment for motor-vehicle-theft offenders in the nation. **Links for Reference:** - 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. *Note: The interface provides drop-down menus and spaces for numerical input where needed. This interactive section facilitates learning by allowing users to understand and apply hypothesis
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