# MATH221 Quiz Week 3

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**MATH221 Quiz Week 3**

A survey of 1272 pre-owned vehicle shoppers found that 8% bought the extended…

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## MATH221 Quiz Week 3

MATH221 Quiz Week 3

**A+ Formulas Included**

**Question 1**

**(CO 1) A survey of 1272 pre-owned vehicle shoppers found that 8% bought the extended warranties. What is the population and what is the sample?**

Population: 1272 pre-owned Vehicle shoppers; Sample: the 8% that bought extended warranties

Population: 1272 pre-owned Vehicle shoppers; Sample: pre-owned vehicle shoppers

Population: pre-owned vehicle shoppers; Sample: the 8% that bought extended warranties

Population: pre-owned vehicle shoppers; Sample: 1272 pre-owned vehicle shoppers

**Question 1**

**A survey of 128 DeVry statistics students found that 83% read the announcements each week. What is the population and what is the sample?**

Population: DeVry statistics students; sample: the 83% that read the announcements weekly

Population: all statistics students; Sample 128: DeVry statistics students

Population: DeVry statistics students: Sample: 128 DeVry Statistics students

Population: all statistics students reading announcements weekly; Sample: the 128 DeVry statistics students

**Question 1**

**Among 500 people at the concert, a survey of 35 found 28% found it too loud. What is the population and what is the sample?**

Population: 500 at that concert; sample: the 35 in the survey

Population: all concert goers; sample: the 28% who found it too loud

Population: 500 at that concert: Sample: the 28% who found it too loud

Population: all concert goers; Sample: the 500 at that concert

**Question 2**

**(CO 1) A survey of 481 of your customers shows that 79% of them like the recent changes to the product. Is this percentage a parameter or a statistic and why?**

Statistics as it represents the population

Parameter as it represents the sample

Statistic as it represents the sample

Parameter is it represents the population

**Question 2**

**The measurements of 100 products from the assembly line show that 99% are correct. Is this percentage a parameter or a statistic and why?**

Parameter as it represents the sample

Statistic as it represents the sample

Parameter as it represents the population

Statistic as it represents the population

**Question 2**

**The measurements of 100 products from the assembly line show that 99% are correct. Is this percentage a parameter or a statistic and why?**

Parameter as it represents the sample

Statistic as it represents the sample

Parameter as it represents the population

Statistic as it represents the population

**Question 3**

**In asking all 349 second graders in a school district, it is found that on average, these second graders have 2.5 pets. Is this number a parameter or a statistic and why?**

Statistic as it represents the population

Statistic as it represents the sample

Parameter as it represents the population

Parameter as it represents the sample

**Question 3**

**Classify the data of the top grossing movies for 2017.**

Qualitative

Quantitative

Classical

Statistics

**Question 3**

**Classify the data of the heights of ladders produced by a tool company.**

Qualitative

Statistics

Classical

Quantitative

**Question 4**

**The data set that lists the number of performances for each Broadway show in 2017 would be classified as what type of data?**

Ordinal

Ratio

Nominal

Interval

**Question 4**

**The data set that lists the runs scored at each of the weekend’s baseball games would be classified as what type of data?**

Interval

Ratio

Nominal

Ordinal

**Question 4**

**The data set that lists the temperatures in Albany NY each day in the month of February would be classified as what type of data?**

Ratio

Ordinal

Nominal

Interval

**Question 5**

**A data set that includes the values given by customers to determine their level of satisfaction with their purchases. The scale used is very satisfied, somewhat satisfied, somewhat dissatisfied, and very dissatisfied. The data of the customer responses would be classified as what type of data?**

Ratio

Nominal

Ordinal

Interval

**Question 5**

**A data set that includes the number of products that were produced within each hour by a company would be classified as what type of data?**

Nominal

Ratio

Interval

Ordinal

**Question 5**

**A data set that includes the years in which your hometown team won championships would be classified as what type of data:**

Ordinal

Nominal

Interval

Ratio

Question 6

What type of data collection might be best to estimate the impact of exercise on longevity?

Observational

Survey

Experiment

Simulation

**Question 6**

**What type of data collection might be best to estimate the amount of time individuals spend socializing?**

Simulation

Experiment

Survey

Observational

**Question 7**

**What type of data collection might be best to study how many books students bring into the media center during finals week?**

Simulation

Survey

Observational

Experiment

**Question 7**

**What type of data collection might be best to study how voters might decide an upcoming ballot issue?**

Experiment

Survey

Simulation

Observational

**Question 8.**

**You need to study the satisfaction of customers of a specific restaurant. You decide to order food and talk to those customers sitting next to you. This would most closely describe which type of sampling technique?**

Convenience

Systematic

Stratified

Random

**Question 8**

**You need to study the satisfaction of customers of a specific restaurant. You ask every 10 ^{th} customer as they leave after their meal. This would most closely describe which type of sampling technique?**

Systematic

Stratified

Convenience

Random

**Question 8**

**You need to study the satisfaction of customers of a specific restaurant. You ask every 10 ^{th} customer as they leave after their meal. This would most closely describe which type of sampling technique?**

Systematic

Convenience

Random

Stratified

**Question 9**

**Which of the following graphs would be a histogram?**

**Question 9**

**Which of the following graphs would be a dot plot?**

**Question 9**

**Which of the following graphs would be a line graph?**

**Question 10**

**In a normally distributed data set of how long customers stay in your store, the mean is 31.7 minutes and the standard deviation is 1.9 minutes. Within what range would you expect 95% of your customers to stay in your store?**

30.75-32.7

26.0-37.4

29.8-33.6

27.9-35.5

**Question 10**

**In a normally distributed data set of how long customers stay in your store, the mean is 50.3 minutes and the standard deviation is 3.6 minutes. Within what range would you expect 95% of your customers to stay in your store?**

39.5-61.1

43.1-57.5

46.7-53.9

48.5-52.1

**Question 11**

**Which of the following graphs would be considered right skewed?**

**Question 11**

**Which of the following graphs would be considered normally distributed?**

Graph 1

Graph 2

Graph 3

Graph 4

**Question 11**

**Which of the following graphs would be considered normally distributed?**

**Question 12**

**In a normally distributed data set with a mean of 19 and a standard deviation of 2.6, what percentage of the data would be 13.8 and 24.2?**

68% based on the histogram

95% based on the histogram

95% based on the empirical rule

68% based on the empirical rule

**Question 12**

**In a normally distributed data set with a mean of 22 and a standard deviation of 4.1, what % of the data would be between 13.8 and 30.2**

95% based on the histogram

68% based on the histogram

68% based on empirical rule

95% based on empirical rule

**Question 12**

**In a normally distributed data set with a mean of 22 and a standard deviation of 4.1, what percentage of data would be between 17.9 and 26.1?**

99.7% based on empirical rule

68% based on the histogram

68% based on the empirical rule

95% based on the empirical rule

**Question 13**

**Which of the following would be the standard deviation for this sample data set: 5,7,3,9,2,4,4,9,5,9,3?**

5.45

2.50

2.62

2.73

**Question 13**

**Which of the following would be the standard deviation for this sample data set: 5,7,6,9,4,4,6,5,2,5?**

2.68

1.72

5.36

1.80

**Question 13**

**Which of the following would be the standard deviation for this sample data set: 5,7,3,9,2,4,4,9,5,9,3**

2.73

5.45

2.50

2.62

**Question 14**

**What would be the mean of this data set? 8,9,7,451,7,1,5,3,4?**

27.5

55.0

55.3

75.3

**Question 14**

**What would be the mean of this data set: 8,9,7,508,7,.1,5,8,1?**

33.8

50.8

5.8

61.6

**Question 15**

**A pharmaceutical company wants to determine If its new medicine helps heal bruises more quickly than not treating the bruise. What type of study would be best suited to make this determination?**

Simulation

Experimental

Survey

Observational

**Question 15**

**A city wants to know how many cars come to a complete stop at the stop signs in downtown? What type of study would be best suited to make this determination?**

Observational

Simulation

Experimental

Survey

**Question 16**

**To gather information on customer satisfaction, a researcher goes into several stores and interviews randomly selected customers. This sampling technique is called:**

Stratified

Convenience

Random

Cluster

**Question 16**

**To gather information on customer satisfaction, a researcher goes into the local store and interviews six randomly selected customers. This sampling technique is called:**

Stratified

Random

Cluster

Convenience

**Question 16**

**To gather information on customer satisfaction, a researcher randomly selects four store locations and interviews all the customers at those selected stores. This sampling technique is called:**

Convenience

Stratified

Cluster

Random

MATH221 Quiz Week 3

**Question 17**

**What is the standard deviation and its meaning given this population of customer ages? 45,76,30,22,51,40,63,66,41?**

17.5 which means that many of the ages will be around the square of this value

16.5 which means that many of the ages will be around this value

17.5 which means that many of the ages will be within this value of the average age

16.5 which means that many of the ages will be within this value of the average age

**Question 17**

**What is the standard deviation and its meaning given the population of customer ages? 45, 76, 30, 22, 24, 40, 63, 66, and 27**

20.2 which means that many of the ages will be around the square of this value

19.0 which means that many of the ages will be around this value

20.2 which means that many of the ages will be within this value of the average age

19.0 which means that many of the ages will be within this value of the average age

**Question 18**

**A random selection from a deck of cards selects one card. What is the probability of selecting an ace?**

0.025

0.250

0.50

0.077

**Question 18**

**A random number generator is used to select a number from 1 to 100. What is the probability of selecting an even number?**

0.25

0.95

0.50

0.005

**Question 18**

**A random number generator is used to select a number from 1 to 100. What is the probability of selecting an even number?**

0.005

0.25

0.95

0.50

**Question 19**

**What is the sample space to responses to a question whose answers are Yes or No, along with a question on location with possible answers of North, South, East, or West?**

Yes no north south east west

Yes yes no no north north south south east east west west

Yes north yes south yes east yes west yes no no north no south no east no west

Yes north yes south yes east yes west no north no south no east no west

MATH221 Quiz Week 3

**Question 19**

**What is the sample space to responses to a question whose answers are up, down, left or right along with a question on preference between blue and red?**

Up blue up red down blue down red left blue left red right blue right red

Up blue up blue down blue down blue left blue left blue right blue right blue

Up up down down left left right right blue blue red red

Up down left right blue red

**Question 20**

**Consider the table below**

Response (number of cats owned | Frequency

None | 659

One | 329

Two | 52

Three | 13

Four or more | 8

What is the probability that the next person asked only has two cats?

5%

31%

62%

50%

**Question 20**

**Consider the table below**

Response (number of cats owned) | Frequency |

None | 659 |

One | 329 |

Two | 52 |

Three | 13 |

Four or more | 8 |

What is the probability that the next person asked has only one cat?

62%

50%

5%

31%

**Question 21**

**Consider the table below**

Age group | Frequency

18-29 | 9831

30-39 | 7845

40-49 | 6869

50-59 | 6323

60-69 | 5410

70 and over | 5279

23.7%

42.5%

28.2%

31.7%

**Question 21**

**Consider the table below**

Age group | Frequency |

18-29 | 9831 |

30-39 | 7845 |

40-49 | 6869 |

50-59 | 6323 |

60-69 | 5410 |

70 and over | 5279 |

What is the probability that the next person chosen will be in the 18-29 or 30-39 age groups?

23.7%

37.8%

42.5%

18.9%

**Question 22**

**According to company records, the probability that a dishwasher will need repairs during its first six years is 0.09. this is an example of which type of probability?**

Empirical probability

Public probability

Subjective probability

Classical probability

MATH221 Quiz Week 3

**Question 22**

**When children roll a die for a game, their probability of rolling a 5 is 17%. This is an example of which type of probability?**

Empirical probability

Public probability

Classical probability

Subjective probability

**Question 23**

**Consider the table below:**

Age group | frequency

18-29 | 9831

30-39 | 7845

40-49 | 6869

50-59 | 6323

60-69 | 5410

70 and over | 5279

What is p (40-59’)?

68.3

31.7

64.6

71.8

**Question 23**

**Consider the table below.**

71.8%

25.7%

64.6%

74.3%

**Question 23**

**Consider the table below.**

Age group | Frequency |

18-29 | 9831 |

30-39 | 7845 |

40-49 | 6869 |

50-59 | 6323 |

60-69 | 5410 |

70 and over | 5279 |

What is P(50-69’)?

76.3%

64.6%

68.3%

71.8%

**Question 24**

**You are selling your product at a 3 day event. Each day, there is a 60% chance that you will make money. What is the probability that you will make money all three days?**

0.288

0.216

0.096

0.144

**Question 25**

**Consider the table below.**

Profit | Loss | Total | |

Urban location | 50 | 38 | 88 |

Rural location | 61 | 84 | 125 |

Total | 111 | 132 | 243 |

Find the probability that a randomly selected location is going to be profitable, given that it is in an urban location.

36.2

56.8

48.8

51.4

**Question 25**

36.2%

28.8%

55.0%

48.8%

**Question 25**

**Consider the table below.**

Profit | Loss | Total | |

Urban Location | 50 | 38 | 88 |

Rural Location | 61 | 84 | 125 |

Total | 111 | 132 | 243 |

Find the probability that a randomly selected location is going to be profitable, given that it is in an urban location.

48.8%

36.2%

51.4%

56.8%

MATH221 Quiz Week 3

**Question 26**

**Consider the table below:**

Find the probability that a random selected product is from the north, given that it is correct.

87.2

88.9

12.1

36.4

**Question 26**

**Consider the table below.**

Find the probability that a random selected product is defective, given that it is from the south production facility.

10.7%

12.8%

13.1%

23.7%

**Question 26**

**Consider the table below.**

Production location | Correct | Defective | Total |

East | 258 | 31 | 289 |

West | 572 | 106 | 678 |

NORTH | 755 | 94 | 849 |

SOUTH | 491 | 74 | 565 |

TOTAL | 2076 | 305 | 2381 |

34.8%

84.4%

28.5%

15.6%

**Question 27**

**Classify these events. Selecting a king from a deck of cards, replacing it and selecting a queen from the same deck. These events would be considered:**

Independent

Empirical

Subjective

Dependent

**Question 27**

**Classify these events. Selecting a king from a deck of cards, keeping it and selecting another king from the same deck. These events would be considered:**

Dependent

Independent

Subjective

Empirical

**Question 28**

**Classify these events. Some of the businesses have large stores and some businesses have large parking lots. These events would be considered:**

Subjective

Independent

Dependent

Classical

MATH221 Quiz Week 3

**Question 28**

**Classify these events. A study found that people who suffer from stress are more likely to have health issues. These events would be considered**

Dependent

Subjective

Independent

Classical

**Question 29**

**In a survey of 331 customers, 66 say that service is poor. You select two customers without replacement to get more information on their satisfaction. What is the probability that both say service is poor?**

3.93

19.70

3.88

4.00

**Question 29**

**In a survey of 320 customers, 58 say that service is poor. You select two customers without replacement to get more information on their satisfaction. What is the probability that both say service is poor?**

3.20%

3.24%

3.19%

3.29%

**Question 29**

**In a survey of 320 customers, 84 say that service is poor. You select two customers without replacement to get more information on their satisfaction. What is the probability that both say service is poor?**

6.83%

6.81%

6.89%

21.25%

Question 30

Randomly select a customer that takes the bus to our store. Randomly select a customer that is a teenage. Are these events mutually exclusive?

Mutually exclusive events

Non-mutually exclusive events

**Question 30**

**Randomly select a customer that purchases tofu. Randomly select a customer that purchases chicken. Are these events mutually exclusive?**

Mutually exclusive events

Non-mutually exclusive events

MATH221 Quiz Week 3

DeVry