# Virtual Course MATH 250 Elements of Statistics Probelms

Virtual Course MATH 250 Elements of Statistics
Multiple Choice. Choose the one best answer, placing that answer to the left of the question’s number. Work should be shown out to the right of the question as needed. Hypothesis testing templates are provided on the next worksheet.

1. The editors of Celebrity Statistics magazine wish to determine Americans’ favorite celebrities. A ballot is included in the November issue of the magazine. Readers are encouraged to mail in their ballots. Indicate the population and sample.

A. Population: Readers of Celebrity Statistics
Sample: Readers who mail in their ballots
B. Population: Readers who mail in their ballots
C. Population: Readers who mail in their ballots
Sample: Americans
D. Population: Americans
Sample: Readers who mail in their ballots

2. What percent of hospital patients were at most 49 years old?
Ages Frequency
A. 70.8% 0-9 3
B. 60.4% 10-19 3
C. 39.6% 20-29 4
D. 29.2% 30-39 4
40-49 5
50-59 7
3. Within which age group would the third quartile (Q3) fall? 60-69 9
70-79 8
A. 50-59 80-89 3
B. 60-69 90-99 2
C. 70-79
D. 80-89

4. Consider the following stem-and-leaf plot displaying ACT scores. In the plot, 1|2 represents a score of 12. Which of the following is false with regard to the data in this stem-and-leaf plot?

1 2334
A. There were 29 pieces of data collected 1 57888899
B. The range of this data set is 23 2 000112223
C. The median of this data set is 21 2 55567
D. The mode for the data set is 18 3 23
3 5

5. A state politician wants to gauge public opinion in his area before deciding to run for re-election. For the study, 200 registered voters are chosen at random from each county in his district. What type of sampling is being utilized?

A. Cluster Sampling
B. Stratified Sampling
C. Systematic Sampling
D. Simple Random Sampling

The following data shows the weights of 12 randomly selected newborn babies.
6.8 9.1 8.7 7.5 8.2 5.4 6.5 8.5 7.3 6.6 5.9 7.3

6. Find the mean and median to the nearest hundredth for this sample data.

A. mean = 7.32, median = 7.30 Mean = 7.32
B. mean = 7.30, median = 7.32 Median = 7.30
C. mean = 7.50, median = 7.48
D. mean = 7.48, median = 7.508

7. Which of the following gives the sample standard deviation and the range of the sample data?

A. SD: 1.10; Range: 1.8 Std Dev = 1.15
B. SD: 1.15; Range: 3.7 Range = 3.70
C. SD: 1.10; Range: 3.7
D. SD: 1.15; Range: 1.8

8. Which one of the following describes a quantitative, continuous variable?

A. Classification of students (freshman, sophomore, junior, senior)
B. Lengths of fish caught in a lake
C. Hair color
D. Number of students in a class.

Exam Scores for Two 5th Grade Student Groups

9. Which distribution shape best describes the boxplot for Class 5A?

A. Bell shaped
B. Uniform
C. Skewed right
D. Skewed left

10. Which of the following statements is true concerning the box-and-whisker plots?

A. Class 5A has a larger range than Class 5B
B. Class 5A has a larger interquartile range (IQR) than Class 5B
C. Class 5A has a larger median than Class 5B
D. Class 5A has a larger maximum value than Class 5B

11. Out of twenty randomly chosen college students, at least 8 owned a tablet. What is the complement of this description?

A. Eight or fewer owned a tablet
B. Fewer than eight owned a tablet
C. No more than eight owned a tablet
D. Eight or more owned a tablet

12. If P(A)=0.03, which one of the following statements is false?

A. The probability of the complement of A is 0.97.
B. The probability of event A happening twice in a row (with replacement) is 0.0009.
C. Event A is an “unusual” event
D. For each 3 times event A happens, there are 100 times in which A doesn’t happen.

13. A bag contains 3 red marbles, 9 blue marbles, and 5 green marble. If you draw two marbles, one right after the other and without replacement, what is the probability that they will both be blue?

A. (9/17) * (8/16)
B. (9/17) + (8/16)
C. (9/17) * (8/17)
D. (9/17) + (8/17)

The following table is the probability distribution for the number of courses taken by FHSU students in a certain semester. In the table, x = the number of courses taken, and P(x) = the probability of taking x courses.

14. The probability that a randomly selected student takes at least 3 courses is:

A. 0.151
B. 0.249
C. 0.600
D. 0.849

15. Determine the expected number (mean) of courses taken by students.

A. 0.2
B. 0.7
C. 3.0
D. 3.5

16. 40% of all people have blood type A. What is the probability of randomly selecting 2 people and neither of them has blood type A?

A. 1.20
B. 0.80
C. 0.36
D. 0.16