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The National Judicial Reporting Program (NJRP) collects data on a variety of sen

ID: 3135291 • Letter: T

Question

The National Judicial Reporting Program (NJRP) collects data on a variety of sentencing related topics. A random sample of persons convicted of weapons offenses is comprised of some individuals who were convicted by a jury and some individuals who were convicted by a judge. The length of sentence imposed – measured in months – is also provided. The data are below. You want to find out if there is a difference in sentence length between conviction by a jury and conviction by a judge. What type of test should you use?

Jury                             Judge

N1 = 23                        N­2 = 54

x1 = 34 x1 = 17

s1 = 48                         s2 = 15

Neighborhood Before After 1 25 21 2 29 25 3 32 32 4 42 39 5 21 25 6 29 25 7 33 29 8 35 36 9 32 29 10 36 35 11 39 40 12 25 21 13 27 25 14 41 35 15 36 35 16 21 23 17 38 31 18 25 21 19 29 25 20 25 20

Explanation / Answer

The length of sentence imposed – measured in months – is also provided. The data are below. You want to find out if there is a difference in sentence length between conviction by a jury and conviction by a judge. What type of test should you use?

type of test will be T test because we want to see if there is a difference and we dont know the standard deviation of population for both

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