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It is often said that the criminal sentences given to minority offenders are more severe than those given to whites. You examine how this works in a federal district court. You take a sample of 80 bank robbery cases where the convicted offender was white and a second independent sample of 80 cases where the convicted offender was either African-American or Hispanic. Here's the data that you get: White n₁ = 80 X₁= 67 months S1 = 18 Minority n₂ = 80 X₂ = 73 months $2 = 29

It is often said that the criminal sentences given to minority offenders are more severe than those given to whites. You examine how this works in a federal district court. You take a sample of 80 bank robbery cases where the convicted offender was white and a second independent sample of 80 cases where the convicted offender was either African-American or Hispanic. Here's the data that you get: White n₁ = 80 X₁= 67 months S1 = 18 Minority n₂ = 80 X₂ = 73 months $2 = 29

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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35 It is often said that the criminal sentences given to minority offenders are more severe than those given to whites. You examine how this works in a federal district court. You take a sample of 80 bank robbery cases where the convicted offender was white and a second independent sample of 80 cases where the convicted offender was either African-American or Hispanic. Here's the data that you get: White F3 n₁ = 80 X₁= 67 months S1 = 18 20 Test the null hypothesis that there is no difference between the two groups versus the alternative hypothesis that white suspects are sentenced on average to fewer months. Use an alpha of 0.05 (one-tailed). You cannot assume that the two population standard deviations are equal (0₁ ± 0₂), so you are going to be using an independent samples separate variance t-test. Use 155 as your degrees of freedom. Your null hypothesis is written as μWhite = μMinority Minority n2 = 80 X2 = 73 months S2 = 29 Your alternative hypothesis is written as uWhite < μMinority You use your alpha of 0.05 and df of 155 to find your critical value in the t-distribution table. Your critical t value is -1.658 → Si You enter your information into the formula for an independent samples separate variance t-test , and find that your obtained t-value is -1.56 $ 4 co Qu obtained + value is greater than DOD DOD F4 15 % F5 A 6 F6 & 7 your criticalt valua vou da F7 8 DII F8 ( 9 DD F9 0 F10
Transcribed Image Text:35 It is often said that the criminal sentences given to minority offenders are more severe than those given to whites. You examine how this works in a federal district court. You take a sample of 80 bank robbery cases where the convicted offender was white and a second independent sample of 80 cases where the convicted offender was either African-American or Hispanic. Here's the data that you get: White F3 n₁ = 80 X₁= 67 months S1 = 18 20 Test the null hypothesis that there is no difference between the two groups versus the alternative hypothesis that white suspects are sentenced on average to fewer months. Use an alpha of 0.05 (one-tailed). You cannot assume that the two population standard deviations are equal (0₁ ± 0₂), so you are going to be using an independent samples separate variance t-test. Use 155 as your degrees of freedom. Your null hypothesis is written as μWhite = μMinority Minority n2 = 80 X2 = 73 months S2 = 29 Your alternative hypothesis is written as uWhite < μMinority You use your alpha of 0.05 and df of 155 to find your critical value in the t-distribution table. Your critical t value is -1.658 → Si You enter your information into the formula for an independent samples separate variance t-test , and find that your obtained t-value is -1.56 $ 4 co Qu obtained + value is greater than DOD DOD F4 15 % F5 A 6 F6 & 7 your criticalt valua vou da F7 8 DII F8 ( 9 DD F9 0 F10
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