The strategy of the courtroom is a subtle thing. Common sensewould say that a criminal who admits guilt is treated moreleniently while a defiant criminal gets a harsher sentence. To seeif this is actually true, data was gathered from criminal courts todetermine if criminals who plead guilty receive lighter sentencesthan those who plead guilty.
Variables:
a) sentence: Sentence Length (in months).
b) served: Actual sentence served (in months).
c) plea: either a not guilty plea or a guilty plea.
Sentence Served Plea
24 8.75 Not Guilty
33.5 6.5 Not Guilty
25.5 6.5 Gulity
18 12.5 Not Guilty
18.5 11 Gulity
44.5 14.5 Not Guilty
38.5 20 Not Guilty
50.5 22 Not Guilty
12.5 1 Gulity
102 10.75 Gulity
30 1.5 Gulity
Perform a two sample t-test to compare the sentences served bythose who plead guilty and those who do not.
State and address all of the assumptions required for thet-test.
Use boxplots to illustrate your data, and describe how they relateto your results.
Do criminals who plead guilty get more lenient treatment than thosethat plead not guilty? As much as possible, relate your comments tospecific results.
