# Final Exam Math 302 Amu

Pages: 11 (2714 words) Published: March 8, 2012
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Final Exam_MATH302

Part 1 of 1 - |
Question 1 of 25| 1.0 Points|
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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|
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| 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)| | |
| D. Yes, because the test value 2.58 is inside the interval (-4.94, 4.94)| | Reset Selection|
Question 3 of 25| 1.0 Points|
Serum ferritin is used in diagnosing iron deficiency. In a study conducted recently researchers discovered that in a sample of 28 elderly men the sample standard deviation of serum ferritin was 52.6 mg/L. For 26 younger men the sample standard deviation was 84.2 mg/L. At the .01 level of significance, do these data support the conclusion that the ferritin distribution in elderly men has a smaller variance than in younger men? | |

| A. No, because the test value 1.60 is less than the critical value of 2.54| | |
| B. Yes, because the test value 2.56 is greater than the critical value of 2.54| | |
| C. Yes, because the test value 0.390 is less than the critical value 2.54| | |
| D. Yes, because the test value 2.56 is greater than the critical value 0.394| | Reset Selection|
Question 4 of 25| 1.0 Points|
The data presented in the table below resulted from an experiment in which seeds of 5 different types were planted and the number of seeds that germinated within 5 weeks after planting was recorded for each seed type. At the .01 level of significance, is the proportion of seeds that germinate dependent on the seed type?      Seed Type|  | Observed Frequencies| |  | Germinated| Failed to Germinate|

| 1| 31| 7|
| 2| 57| 33|
| 3| 87| 60|
| 4| 52| 44|
| 5| 10| 19|
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| A. Yes, because the test value 16.86 is greater than the critical value of 13.28| | |
| B. Yes, because the test value 16.86 is less than the critical value of 14.86| | |
| C. No, because the test value 16.86 is greater than the critical value of 13.28| | |
| D. No, because the test value 13.28 is less than the critical value of 16.86| | Reset Selection|
Question 5 of 25| 1.0 Points|
A manufacturer of flashlight batteries took a sample of 13 batteries from a...