Quiz Information Part 1. Multiple Choice: 20 questions. Each multiple-choice que

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Part 1. Multiple Choice: 20 questions. Each multiple-choice question has only 1 correct answer, and each question is worth 1 point.

Question 1

1. In an indefinitely large number of repetitions of a random phenomenon, a particular outcome will occur less often

than not. The probability of this event may reasonably be:

Question 1 options:

0.6

1

0

0.3

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Question 2

2. How much data is contained within the IQR?

Question 2 options:

25%

75%

10%

50%

Question 3

3. Event A occurs with probability 0.4. If events A and B are not disjoint, then:  

Question 3 options:

P(B) > 0.6

P(B) 0.6

P(B) < 0.6

P(B) 0.6

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Question 4

4. Which of the following is a list of only categorical variables?

Question 4 options:

Calorie count of soda, number of ounces that make up a serving size, how many years the soda has been on the market

Team or individual sport, indoor or outdoor sport, type of shoes worn while playing sport

Gender, age, citizen status

Movie category, award-winner or not, box office revenue

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Question 5

5. Use the scatterplot below to answer the following question. The scatterplot shows Debt in 2007 versus Debt in 2006 (in U.S. billion $) for 24 countries.

Question 5 options:

Form: strong, direction: upwards, strength: moderate

Form: linear, direction: negatively associated, strength: moderate

Form: upwards, direction: positively associated, strength: strong

Form: linear, direction: positively associated, strength: strong

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Question 6 (1 point)

6. What is the smallest and largest possible standard deviation from the spots on a pair of dice?

Question 6 options:

0 and 1

0 and 2.5

3.5 and 6

1 and 6

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Question 7 (1 point)

7. A variable whose value is a numerical outcome of a random phenomenon is called:

Question 7 options:

independent

a sample space

discrete

a random variable

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Question 8 (1 point)

8. A consumer group surveyed the prices for a certain item in five different stores and reported the average price as15 $. We visited four of the five stores and found the prices to be 10 $, 12 $, 17 $, and 23 $. Assuming that the consumer group is correct, what is the price of the item at the store that we did not visit?

Question 8 options:

$10

$13

$15

$20

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Question 9 (1 point)

9. The average salary of all female workers is 45,000 $. The average salary of all male workers is 51,000 $. What must be true about the average salary of all workers?  

Question 9 options:

it must be 48,000 $

It could be any number between $45,000 and $51,000.

It must be larger than 48,000 $

It must be larger than the median salary.

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Question 10 (1 point)

10. The probability of a sunny day in July in the state of Virginia is 0.75. What is the probability of at least one day in a five-day span that is not sunny if we assume the days are independent?

Question 10 options:

0.2500

0.0010

0.7627

0.2373

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Question 11 (1 point)

11. Given the sample space and events A, B, C as defined in the Venn Diagram above, we know that the P(B) is:

Question 11 options:

0.5

0.3

0.1

0.2

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Question 12 (1 point)

12. The ``Liars Index,'' defined by work done by Jude Werra, states that 18.4% of individuals applying for executive positions in companies lie on their resumes. If the resumes of 3 executive job applicants are randomly selected, the probability that all 3 lied on their application is closest to:

Question 12 options:

0.1840

1

0.0062

0.5520

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Question 13 (1 point)

13. In a random survey of registered voters, respondents were asked whether they support a proposed piece of legislation. Additionally, since the legislation could affect various age groups differently, the respondents' ages were also noted.

The table below summarizes the results.

Age Category (in Years)

18-35 36-60 61+ Total

Yes 3,125 2,025 1,000 6,150

No 1,875 2,975 4,000 8,850

Total 5,000 5,000 5,000 15,000

Based on the survey results, the probability that a randomly chosen registered voter in the 18-35 age category will support the legislation is approximately:

Question 13 options:

0.208

0.410

0.508

0.625

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Question 14 (1 point)

14. In a certain town 50% of the households own mutual funds, 40% own individual stocks, and 20% own

both mutual funds and individual stocks. The proportion of households that own neither mutual funds nor individual stocks is:  

Question 14 options:

40%

0%

30%

20%

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Question 15 (1 point)

15. This is a standard deviation contest. Which of the following sets of four numbers has the largest possible standard deviation?

Question 15 options:

7, 8, 9, 10

0, 1, 2, 3

0, 0, 10, 10

5, 5, 5, 5

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Question 16 (1 point)

16. In the Business College at a large university, 20% of the students taking classes are Accounting majors. For a group project in the Business Statistics class, 3 students are randomly assigned to work as a team. The probability that the entire team consists of Accounting majors is:

Question 16 options:

0.008

0.2

0.6

impossible to determine with the available information

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Question 17 (1 point)

17. An event A will occur with probability 0.5. An event B will occur with probability 0.6. The probability

that both A and B will occur is 0.1. The conditional probability of A given B is:

Question 17 options:

0.1667  

0.2

0.3

1

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Question 18 (1 point)

18. A probability model must satisfy which of the following?

Question 18 options:

The probability of any event must be a number between 0 and 1, inclusive.

The sum of all the probabilities of all outcomes in the sample space must be exactly 1

The probability of an event is the sum of the outcomes in the sample space that make up that event

All answers are correct.

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Question 19 (1 point)

19. Which of the following is likely to have a mean that is smaller than the median?  

Question 19 options:

The salaries of all National Football League players

The scores of students (out of 100 points) on a very difficult exam in which most score poorly, but a few do very well

The prices of homes in a large city

The scores of students (out of 100 points) on a very easy exam in which most score perfectly, but a few do very poorly

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Question 20 (1 point)

20. The five-number summary of a set of data is:

Question 20 options:

any five single-digit numbers that are measures of center and spread.

the mean, median, mode, variance, and standard deviation.

the minimum, first quartile, median, third quartile, and maximum.

any five-digit number that describes the data.

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Information

Part 2 Problem Solving: Answer the questions in the blanks provided. Point values are indicated next to each question. Please show all work as partial credit will be given.

Information

Use the following information to answer problem 1, parts a-e.

Student

Height (inches)

Number of work hours per week

1

55

40

2

68

0

3

69

40

4

72

25

5

74

35

6

64

36

7

67

0

8

71

50

9

74

0

10

65

31

Question 21 (6 points)

Problem 1.

a ) (6 points) Determine the median hours worked per week across the sample of 10 students. Are the “0’s” included or excluded when determining the median? Why or why not?

Question 21 options:

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Question 22 (6 points)

1. b) (6 points) Determine the median hours worked per week as if only students labeled 1-9 were in the sample.

Question 22 options:

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Question 23 (6 points)

1. c) (6 points) Compute the mean height, using the correct notation to represent the sample mean.

Question 23 options:

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Question 24 (6 points)

1. d) (6 points) Compute the mean number of hours worked per week.

Question 24 options:

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Question 25 (6 points)

1. e) (6 points) Do you think the distribution of hours per week is skewed? Provide evidence to support your conclusion.

Question 25 options:

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Problem 2. Use the following table showing the number of female and male drivers and the primary type of car that they drive (sedan, SUV/minivan, truck, other) to answer the problem number 2 (a - d). Note: you should round all answers to 3 decimal places

Male       Female

Sedan 293    208

SUV/Minivan    304 307

Truck    59 62

Question 26 (6 points)

2. (a) (6 points) What is the proportion of females who drive trucks? Round your answer to three decimal places.

Question 26 options:

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Question 27 (6 points)

2.(b) (6 points) What is the proportion of all drivers who are female and drive trucks?

Question 27 options:

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Question 28 (6 points)

2. (c) (6 points) What proportion of truck drivers are female?

Question 28 options:

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Question 29 (6 points)

2.(d) (6 points) What is the proportion of all drivers who drive trucks?

Question 29 options:

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Question 30 (6 points)

Problem 3 (6 points) You flip a coin four times and observe whether a head or a tail occurs on each flip. How many outcomes are in the sample space for this random phenomenon?

Question 30 options:

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Question 31 (6 points)

Problem 4 (6 points) Let A be the event that the outcome of a roll of a die is odd. Let B be the event that the outcome of a roll of a die is less than 5. Draw a Venn diagram for these events.

Question 31 options:

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Question 32 (6 points)

Problem 5 (6 point) A machine shop retains a service crew to repair machine breakdowns that occur with the following daily probability distribution:

# Breakdowns 1 2 3 4 5 >5

Probability ? 0.27 0.30 0.18 0.09 .10

On any given day, what is the probability that no more than three machines will break down?

Question 32 options:

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Question 33 (7 points)

Problem 6. (7 points) In an instant lottery, your chances of winning are 0.02. If you play the lottery two times and outcomes are independent, what is the probability that you will win at least once?

Question 33 options:

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Note: It is recommended that you save your response as you complete each question. Bivariate Fit of Debt2007 By Debt2006 500 400 300 200 100 0 200 300 400 Debt2006

Explanation / Answer

1. D 0.3

The probability of any outcome of a random phenomenon is the proportion of times the outcome would occur in a very long series of repetitions

Post each question separately ,as per chegg guidelines. Thanks

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