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Final Exam_MATH302
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Part 1 of 1 - | Question 1 of 25 | 1.0 Points | |
A lawyer researched the average number of years served by 45 different justices on the Supreme Court. The average number of years served was 13.8 years with a standard deviation of 7.3 years. What is the 95% confidence interval estimate for the average number of years served by all Supreme Court justices? Place your limits, rounded to 1 decimal place, in the blanks. Place you lower limit in the first blank. Place your upper limit in the second blank. When entering your answer do not use any labels or symbols. Simply provide the numerical value. For example, 12.3 would be a legitimate entry. | Question 2 of 25 | 1.0 Points |
Some defendants in criminal proceedings plead guilty and are sentenced without a trial, whereas others who plead innocent are subsequently found guilty and then are sentenced. In recent years, legal scholars have speculated as to whether sentences of those who plead guilty differ in severity from sentences for those who plead innocent and are subsequently judged guilty. Consider the data given below on defendants accused of robbery, all of whom, by the way, had previous prison records. At the .01 level of significance, do these data suggest that the proportion of all defendants in these circumstances who plead guilty and are sent to prison differs from the proportion who are sent to prison after pleading innocent and being found guilty? | Plea | | Guilty | Not Guilty | Number judged guilty | n1 = 191 | n2 = 64 | Number sentenced to prison | x1 = 101 | x2 = 56 | Sample proportion | .529 | .875 | | | | A. No, because the test value -1.96 is inside the interval (-2.58, 2.58) | | | | B. No, because the test value -4.94 is outside the interval (-1.96, 1.96) | | | | C. Yes, because the test value -4.94 is outside the interval (-2.58, 2.58) | |