| |
| |
1. |
The number of calories for a serving of different brands of potato chips and tortilla chips is shown in the back-to-back stem-and-leaf plot below. Which statement is correct? |
| |
|
 |
| |
|
A. |
Most of the potato chip brands have less than 150 calories per serving. |
| |
|
B. |
The data for potato chips and the data for tortilla chips have the same mode(s). |
| |
|
C. |
Potato chips and tortilla chips both have the same mean number of calories. |
| |
|
D. |
Most of the tortilla chip brands have less than 150 calories per serving. |
| |
|
Hint |
|
| |
2. |
Find the mean of the set {14, 16, 23, 9, 13, 31, 12, 28}. |
| |
|
A. |
15 |
B. |
19 |
| |
|
C. |
18.25 |
D. |
16.5 |
| |
|
Hint |
|
| |
3. |
The curve shown is________. |
| |
|
 |
| |
|
A. |
not skewed |
B. |
positively skewed |
| |
|
C. |
normal |
D. |
negatively skewed |
| |
|
Hint |
|
| |
4. |
Which diagram illustrates all the different choices when spinning both spinners at the same time? |
| |
|
 |
| |
|
A. |
 |
| |
|
B. |
 |
| |
|
C. |
 |
| |
|
D. |
 |
| |
|
Hint |
|
| |
5. |
The letters a, b, c, and d will be used to form passwords for the school's computer system. How many 4-letter passwords may be formed if the letters can be used more than once in any password? |
| |
|
A. |
256 |
B. |
16 |
| |
|
C. |
300 |
D. |
20 |
| |
|
Hint |
|
| |
6. |
Multiply C(12, 5)× C(15, 10). |
| |
|
A. |
792 |
B. |
180 |
| |
|
C. |
3003 |
D. |
2,378,376 |
| |
|
Hint |
|
| |
7. |
The calculus class is preparing for the Advanced Placement Exam. If there are 12 girls in a class of 20, how many study groups of 3 girls and 2 boys can be formed? |
| |
|
A. |
6160 |
B. |
5670 |
| |
|
C. |
8395 |
D. |
110 |
| |
|
Hint |
|
| |
8. |
A bag contains 7 blue marbles, 8 green marbles, 15 red marbles, and 10 yellow marbles. Find the probability of randomly drawing without replacement, a blue marble and then a red. |
| |
|
A. |
or about 0.0673 |
B. |
or about 0.0438 |
| |
|
C. |
or about 0.0656 |
D. |
or about 0.2273 |
| |
|
Hint |
|
| |
9. |
A box of crayons contains 8 blue, 9 red, and 13 yellow. Find the probability of first choosing a yellow, then a blue, and then another yellow crayon if there is no replacement. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
10. |
Two cards are drawn from a standard deck of 52 cards. Find the probability of drawing either two jacks or two red cards. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
11. |
An article in the Gazette reported that about 1 out of 4 cars sold in 1980 was red. Suppose a salesperson sells 6 cars per week. What is the probability that he or she sells at least 4 red cars in a week? |
| |
|
A. |
or about 0.1318 |
B. |
or about 0.0330 |
| |
|
C. |
or about 0.0376 |
D. |
or about 0.9624 |
| |
|
Hint |
|
| |
12. |
The Boor Foundation conducted a poll asking people to name the most serious problem facing the nation. Of the 600 people polled, 48% of the randomly selected people answered education. Find the margin of error for this sampling. |
| |
|
A. |
0.5200 |
B. |
24.96 |
| |
|
C. |
0.0407922 |
D. |
0.2039608 |
| |
|
Hint |
|
| |
13. |
According to a survey of randomly selected adults who exercise regularly, 62% of the group said they run 40 minutes, 3 times a week. If the margin of error was 2%, how many people were surveyed? |
| |
|
A. |
1178 |
B. |
2356 |
| |
|
C. |
380 |
D. |
9424 |
| |
|
Hint |
|
| |
14. |
According to NFL statistics, the Cincinnati Bengals will lose 13 out of 16 games, regardless of opponent. What are the odds of Cincinnati losing a game? |
| |
|
A. |
16:13 |
B. |
13:3 |
| |
|
C. |
3:13 |
D. |
13:16 |
| |
|
Hint |
|
| |
15. |
Suppose two dice are rolled. What is the probability that a sum of 2, 4, or 6 will not be rolled? |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
16. |
The number of professional football players is 1200. Suppose 500 are on the offense, 500 are on the defense, and 60 play both offense and defense. What is the probability that a football player selected at random plays on the offense or the defense? |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
17. |
Which set of data is positively skewed? |
| |
|
A. |
{9, 10, 11, 12, 13, 14, 15, 16, 17} |
| |
|
B. |
{10, 11, 12, 12, 13, 13, 13, 14, 14, 15, 16} |
| |
|
C. |
{9, 9, 10, 10, 10, 11, 11, 13, 15, 17} |
| |
|
D. |
{9, 11, 13, 14, 14, 15, 15, 15, 17, 17} |
| |
|
Hint |
|
| |
18. |
Suppose a mathematician has a probability of answering any math question correctly. What is the probability that he answers at least 2 out of 5 questions correctly? |
| |
|
A. |
0.99954 |
B. |
0.0081 |
| |
|
C. |
0.00046 |
D. |
0.00856 |
| |
|
Hint |
|
|
|