Statistic practice quiz

Multiple choice

1. Events A and B are said to be mutually exclusive in statistics if:

Select one:

A. A and B are independent events

B. The intersection of A and B is an empty set

C. The union of A and B is an empty set

D. Sample space is an empty set

2. Events A and B are said to be collectively exhaustive in statistics if:

Select one:

A. A and B are mutually exclusive

B. The union of A and B equals the sample space

C. The union of A and B is an empty set

D. The intersection of A and B is the same as the union

3. What is a sample space?

Select one:

A. The sample from a national survey

B. The space between events A and B

C. The set of all possible outcomes of an experiment

D. None of the above

4. A subjective probability is a probability

Select one:

A. Between 0 and 1

B. Very close to zero

C. Based on individual judgement or assessment

D. None

5. A student is chosen at random from a class of 16 girls and 14 boys. What is the probability that the student chosen is a girl?

Select one:

A. 0.533

B. 0.467

C. 0.35

D. 0

E. None

6. A glass jar contains 5 red, 3 blue and 2 green jellybeans. If a jelly bean is chosen at random from the jar, what is the probability that it is red or green?

Select one:

A. 0.5

B. 0.3

C. 0.7

D. 0.35

E. None

7. If a doctor suspects that his patient has a 50% chance of surviving, the probability of surviving in this case is an example of:

Select one:

A. Simple Probability

B. Conditional Probability

C. Joint Probability

D. Subjective Probability

E. None

8. A student is chosen at random from a class of 28 girls and 12 boys. What is the probability that the student is NOT a boy

Select one:

A. 0.3

B. 0.4286

C. 0.12

D. 0.70

9. On a multiple choice test, each question has 4 possible answers. If you make a random guess on the first question, what is the probability that you are correct

Select one:

A. 1

B .4

C. 0.25

D. 0.75

10. A 6-sided die is rolled once. What is the probability of rolling a 3 or a 6

Select one:

A. 0.2

B. 0.1667

C. 0.333

D. 0.5

11. The Office of the Registrar revealed that in a random sample of two hundred students, exactly one hundred and thirty-eight of them stay off campus.

What is the sample part of students who stay off campus?

Select one:

A. 0.96

B. 0.69

C.138

D. None of the answers provided

12. When constructing a confidence interval estimate for the single unknown population proportion {TT} of the students (in the question above) who stay off campus: What critical value will be used?

Select one:

A. t-crit

B. z-crit

C. p-crit

D. None of the provided

13. Compute the Standard Error of estimate to determine this unknown population proportion of students who stay off campus.

Select one:

A. 0.2139

B. 1.0695

C. 0.0327

D. None of the provided

14. If you construct a 90% degree of confidence interval estimate for the population proportion of students who stay off campus.

What critical value will be used?

Select one:

A. 1.645

B. 1.96

C. 2.575

D. None of the provided

15. What will be the lower limit (LL) forth is confidence interval estimate?

Select one:

A. 0.05379

B. 0.63620

C. 0.69

D. None of the provided

16. What will be the upper limit (UL) for this confidence interval estimate?

Select one:

A. 0.69

B. 0.05379

C. 0.7438

D. None of the provided

17. The average cost of providing a particular service per person per day is a random variable having a normal distribution with average of $100 and a standard deviation of $22. This is an illustration

Select one:

A. Discrete Probability Distribution

B. Continuous Probability Distribution

18. If you use the information provided in Question 3.1 to calculate the probability that the cost of providing the service will be at least $120 per day per person., then

Select one:

A. P (x is greater and equal to 120)

B. P (x is smaller and equal to 120)

19. Based upon the information provided above in this Question, the z-distribution will be as follows:

Select one:

A. P(Zingreaterandequalto0.91)

B. P(zissmallerandequalto0.91)

C. P(zissmallerandequalto-0.91)

D. P(zisgreaterandequalto-0.91)

E. None of the provided

20. Based upon the above information obtained in this Question, which one of the following statements below is correct:

Select one:

A. Probability for the cost of the service to be at least $120 = 31.86%

B. Probability for the cost of the service to be at least $120 = 81.86%

C. Probability for the cost of the service to be at least $120 = 18.14%

D. None of the provided

21. The average cost of providing a particular service per person per day is a random variable having a normal distribution with average of $100 and a standard deviation of $22. Thus, calculate the probability that the cost of providing the service will be at most $60 per day per person.

Select one:

A. P(Xisgreaterandequalto60)

B. P(Xissmallerandequalto60)

C. None of the provided

22. Based upon the information obtained in this Question, the z-distribution will be as follows:

Select one:

A. P (Z is smaller and equal to 1.82)

B. P (z is greater and equal to1.82)

C. P (z is smaller and equal to-1.82)

D. P (z is greater and equal to-1.82)

E. None of the provided

23. Based upon the above information obtained above in this Question, which one of the following statements below is correct:

Select one:

A. Probability for the cost of the service to be at most $60 = 46.56%

B. Probability for the cost of the service to be at most $60 = 96.56%

C. Probability for the cost of the service to be at most $60 = 3.34%

D. None of the provided