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1. The graph summarizes the responses from 4.500 respondents who rated their degree of confidence in each of eight United States institutions. Each respondent gave each institution one of five confidence ratings: high, moderate, little, none, or undecided.
For the respondents who rated their degree of confidence in state government high or moderate, the ratio of the number who gave a rating of high to the number who gave a rating of moderate was 1 to 3. How many of the respondents rated their degree of confidence in state government high?
A) 540
B) 570
C) 720
D) 680
E) 620
2. 
In sets A and B shown, I < v < y < z. Which of the following statement is about .1 and H must be true?
Indicate all such statements.
A) The range of the numbers in A is greater than the range of the numbers in B.
B) The average (arithmetic mean) of the numbers in A is equal to the average of the numbers in B.
C) The median of the numbers in A is equal to the median of the numbers in B.
3. 
A) Quantity B is greater.
B) Quantity A is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
4. In 1995 the United States National Park Service reintroduced wolves into Yellowstone National Park, from which they had been eliminated decades before by overhunting. Biologists hoped the reintroduction would return the park's mix of animals to a more natural state. After the wolves* disappearance, the population of their onetime prey, the elk. had burgeoned. Subsequently, new tree growth declined as multiplying elk browsed young trees, denuding certain areas of the park. Following the wolves" return, the elk population declined and young trees rebounded. Most scientists attribute the vegetation changes to the wolves" return.
However. Patton observes that Yellowstone has not had a harsh winter since wolf numbers reached high levels and suggests that elk may not have needed to resort to trees for food.
If the view attributed to the majority of scientists is correct, which of the following must be true?
A) The rate at which young trees rebounded in Yellowstone following the reintroduction of wolves was in part due to weather patterns.
B) Browsing by species other than elk probably had a significant impact on young trees in Yellowstone.
C) The elk population in Yellowstone had probably begun to decline prior to the reintroduction of wolves to the park.
D) The reintroduction of wolves to Yellowstone has had negative as well as positive effects on vegetation in the park.
E) Human activity contributed both to the decline and to the resurgence of new tree growth in Yellowstone.
5. In the xy-plane. what is the slope of the line that passes through the points (2,-3) and (5. -4)? Give your answer as a fraction.
Solutions:
| Question # 1 Answer: D | Question # 2 Answer: B | Question # 3 Answer: B | Question # 4 Answer: E | Question # 5 Answer: Only visible for members |
1. The graph summarizes the responses from 4.500 respondents who rated their degree of confidence in each of eight United States institutions. Each respondent gave each institution one of five confidence ratings: high, moderate, little, none, or undecided.
For the respondents who rated their degree of confidence in state government high or moderate, the ratio of the number who gave a rating of high to the number who gave a rating of moderate was 1 to 3. How many of the respondents rated their degree of confidence in state government high?
A) 540
B) 570
C) 720
D) 680
E) 620
2. 
In sets A and B shown, I < v < y < z. Which of the following statement is about .1 and H must be true?
Indicate all such statements.
A) The range of the numbers in A is greater than the range of the numbers in B.
B) The average (arithmetic mean) of the numbers in A is equal to the average of the numbers in B.
C) The median of the numbers in A is equal to the median of the numbers in B.
3. 
A) Quantity B is greater.
B) Quantity A is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
4. In 1995 the United States National Park Service reintroduced wolves into Yellowstone National Park, from which they had been eliminated decades before by overhunting. Biologists hoped the reintroduction would return the park's mix of animals to a more natural state. After the wolves* disappearance, the population of their onetime prey, the elk. had burgeoned. Subsequently, new tree growth declined as multiplying elk browsed young trees, denuding certain areas of the park. Following the wolves" return, the elk population declined and young trees rebounded. Most scientists attribute the vegetation changes to the wolves" return.
However. Patton observes that Yellowstone has not had a harsh winter since wolf numbers reached high levels and suggests that elk may not have needed to resort to trees for food.
If the view attributed to the majority of scientists is correct, which of the following must be true?
A) The rate at which young trees rebounded in Yellowstone following the reintroduction of wolves was in part due to weather patterns.
B) Browsing by species other than elk probably had a significant impact on young trees in Yellowstone.
C) The elk population in Yellowstone had probably begun to decline prior to the reintroduction of wolves to the park.
D) The reintroduction of wolves to Yellowstone has had negative as well as positive effects on vegetation in the park.
E) Human activity contributed both to the decline and to the resurgence of new tree growth in Yellowstone.
5. In the xy-plane. what is the slope of the line that passes through the points (2,-3) and (5. -4)? Give your answer as a fraction.
Solutions:
| Question # 1 Answer: D | Question # 2 Answer: B | Question # 3 Answer: B | Question # 4 Answer: E | Question # 5 Answer: Only visible for members |
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