MATH 221 Homework Week 1 -Latest
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MATH 221 Homework Week 1

1. Determine whether the data set is a population or a sample. Explain your reasoning.
The age of each resident in an apartment building.
Choose the correct answer below.
1. Population, because it is a collection of ages for all people in the apartment building.
2. Sample, because it is a collection of ages for all people in the apartment building, but there are other apartment buildings
3. Population, because it is a subset of all apartment buildings in the city.
4. Sample, because it is a collection of ages for some people in the apartment building.

1. Determine whether the data set is a population or a sample. Explain your reasoning.
The salary of each baseball player in a league
Choose the correct answer below
1. Sample, because it is a collection of salaries for some baseball players in the league
2. Sample, because it is a collection of salaries for all baseball players in the league, but there are other sports
3. Population, because it is a collection of salaries for all baseball players in the league
4. Population, because it is a subset of all athletes

2. Determine whether the underlined value is a parameter or a statistic.
The average age of men who have walked on the moon was 39 years, 11 months, 15 days.
Is the value a parameter or a statistic?
Parameter
Statistic

2 Determine whether the data set is a population or a sample. Explain your reasoning.
The number of pets for 20 households in a town of 300 households.
Choose the correct answer below.
1. Sample, because the collection of the number of pets for 20 households is a subset of all households in the town.
2. Population, because it is a collection of the number of pets for all households in the town.
3. Sample, because it is a collection of the number of pets for all households in the town, but there are other towns.
4. Population, because it is a subset of all households in the town.

3. Determine whether the given value is a statistic or a parameter.
In a study of all 3336 professors at a college, it is found that 55% own a vehicle.
Choose the correct statement below.
1. Statistic because the value is a numerical measurement describing a characteristic of a sample.
2. Statistic because the value is a numerical measurement describing a characteristic of a population.
3. Parameter because the value is a numerical measurement describing a characteristic of a population.
4. Parameter because the value is a numerical measurement describing a characteristic of a sample.

3 Determine whether the underlined value is a parameter or a statistic.
In a national survey of high school students (grades 9-12), 25% or respondents reported that someone had offered, sold, or given them an illegal drug on school property.
1. Parameter
2. Statistic
3. Determine whether the given value is a statistic or a parameter.
In a study of all 4901 professors at a college, it is found that 35% own a television.
Choose the correct statement below.
1. Parameter because the value is a numerical measurement describing a characteristic of a sample.
2. Parameter because the value is a numerical measurement describing a characteristic of a population.
3. Statistic because the value is a numerical measurement describing a characteristic of a sample.
4. Statistic because the value is a numerical measurement describing a characteristic of a population.

4 Determine whether the given value is a parameter or a statistic.
In a study of all 1290 employees at a college, it is found that 40% own a computer.
Choose the correct statement below.
1. Parameter because the value is a numerical measurement describing a characteristic of a sample.
2. Statistic because the value is a numerical measurement describing a characteristic of a sample.
3. Statistic because the value is a numerical measurement describing a characteristic of a population.
4. Parameter because the value is a numerical measurement describing a characteristic of a population.

5. Determine whether the variable is qualitative or quantitative.
Favorite film
Is the variable qualitative or quantitative?
1. Qualitative
2. Quantitative

5 Determine whether the given value is a statistic or a parameter.
A sample of employees is selected and it is found that 45% own a vehicle.
Choose the correct statement below.
1. Parameter because the value is a numerical measurement describing a characteristic of a sample.
2. Statistic because the value is a numerical measurement describing a characteristic of a population.
3. Statistic because the value is a numerical measurement describing a characteristic of a sample.
4. Parameter because the value is a numerical measurement describing a characteristic of a population.

6. Determine whether the variable is qualitative or quantitative.
Hair color
Is the variable qualitative or quantitative?
1. Qualitative
2. Quantitative

• Determine whether the variable is qualitative or quantitative.
Favorite sport
Is the variable qualitative or quantitative?
1. Qualitative
2. Quantitative

7. The regions of a country with the six highest per capita incomes last year are shown below.
8. Southeast Western 3 Eastern 4 Northeast 5 Southeast 6 Northern
Determine whether the data are qualitative or quantitative and identify the data set’s level of measurement.
1. Qualitative
2. Quantitative
What is the data set’s level of measurement?
1. Ratio
2. Ordinal
3. Interval
4. Nominal

• Determine whether the variable is qualitative or quantitative.
Car license
Is the variable Quantitative?
A. Quantitative
B Qualitative

8. Which method of data collection should be used to collect data for the following study.
The average age of the 105 residents of a retirement community.
Choose the correct answer below.
1. Stratified Sampling
2. Census
3. Systematic Sampling
4. Cluster Sampling

• The region representing the top salesperson is a corporation for the past six years is shown below.
Northern Northern Eastern Southeast Eastern Northern

Determine whether the data are qualitative or quantitative and identify the data set’s level of measurement.

Are the data qualitative or quantitative?
1. Qualitative
2. Quantitative

What is the data set’s level of measurement?
1. Ratio
2. Nominal
3. Interval
4. Ordinal

9. Decide which method of data collection you would use to collect data for the study.
A study of the effect on the taste of a popular soda made with a caffeine substitute.
Choose the correct answer below.
1. Observational Study
2. Survey
3. Experiment
4. Simulation

9 Which method of data collection should be used to collect data for the following study.
The average weight of 188 students in a high school.
Choose the correct answer below.
1. Census
2. Cluster Sampling
3. Stratified Sampling
4. Systematic Sampling

10. Microsoft wants to administer a satisfaction survey to its customers. Using their customer database, the company randomly selects 60 customers and asks them about their level of satisfaction with the company.
What type of sampling is used?
1. Simple random
2. Stratified
3. Systematic
4. Cluster
5. Convenience

10 Decide which method of data collection you would use to collect data for the study.
A study of the effect on the human digestive system of a snack food made with a sugar substitute.
Choose the correct answer below.
1. Survey
2. Simulation
3. Experiment
4. Observational Study

11. A newspaper asks its readers to call in their opinion regarding the number of books they have read this month.
What type sampling is used?
1. Simple random
2. Stratified
3. Systematic
4. Cluster
5. Convenience

11 General Motors wants to administer a satisfaction survey to its current customers. Using their customer database, the company randomly selects 80 customers and asks them about their level of satisfaction with the company.
What type of sampling is used?
1. Cluster
2. Stratified
3. Convenience
4. Simple random
5. Systematic

12. Determine whether you would take a census or a sampling to collect data for the study described below.
The most popular chain restaurant among the 60,000 employees of a company.
Would you take a census or use a sampling?
1. Sampling
2. Census

12 A magazine asks its readers to call in their opinion regarding the quality of the articles.
What type of sampling is used?
1. Simple random
2. Cluster
3. Systematic
4. Stratified
5. Convenience

13. Math the plot with a possible description of the sample.
Choose the correct answer below.
1. Top speeds (in miles per hour) of a sample of sports cars
2. Time (in minutes) it takes a sample of employees to drive to work
3. Grade point averages of a sample of students with finance majors
4. Ages (in years) of a sample of residents of a retirement home

13 Determine whether you would take a census or use a sampling to collect data for the study described below.
The most popular house color among the 40,000 employees of a company.
Would you take a census or use a sampling?
1. Sampling
2. Census

14. Use a stem-and-leaf plot to display the data. The data represent the heights of eruptions by geyser. What can you conclude about the data?
108 90 110 150
140 120 100 130
110 100 118 106
98 102 105 120
111 130 96 124

Choose the correct stem-and-leaf plot. (Key: 15 ǀ 5 = 155)

A B C

What can you conclude about the data?
12. It appears that most eruptions have a height of around 12.
13. It appears that most eruptions have a height of around 120
14. It appears that most eruptions have a height less than 135
15. It appears that most eruptions have a height greater than 110
16. It appears that most eruptions have a height between 11 and 13

14 Match the plot with a possible description of the sample.
Choose the correct answer below.
1. Fastest serve (in miles per hour) of a sample of top tennis players
2. Grade point averages of a sample of students with finance major
3. Time (in minutes) it takes a sample of employees to drive to work
4. Ages (in years) of a sample of residents of a retirement home

15. Determine whether the approximate shape of the distribution in the histogram is symmetric, uniform, skewed left, skewed right, or none of these.
Choose the best answer below.
1. Skewed right
2. Skewed left
3. Symmetric
4. Uniform
5. None of these

15 Use a stem-and-leaf plot to display the data. The data represent the heights of eruptions by a geyser. What can you conclude about the data?
106 90 110 150
140 120 100 130
110 101 115 100
99 107 103 120
115 130 95 121

What can you conclude about the data?
1. It appears that most eruptions have a height of around 12
2. It appears that most eruptions have a height less than 135
3. It appears that most eruptions have a height greater than 110
4. It appears that most eruptions have a height between 11 and 13
5. It appears that most eruptions have a height of around 120

16. The maximum number of seats in a sample of 13 sport utility vehicles are listed below. Find the mean, median, and mode of the data.
5 7 8 8 5 6 4 4 4 4 4 4 5
Find the mean. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
5. The mean is 2
(Type the integer or decimal rounded to the nearest tenth as needed)
1. The data does not have a mean.

Find the median. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
1. The median is 5
(Type the integer or decimal rounded to the nearest tenth as needed)
1. The data does not have a median.

Find the mode. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
1. The median is 4
(Type the integer or decimal rounded to the nearest tenth as needed)
1. The data does not have a mode.

16 Determine whether the approximate shape of the distribution in the histogram is symmetric, uniform, skewed left, skewed right, or none of those.
Choose the best answer below.
1. Skewed right
2. Skewed left
3. Symmetric
4. Uniform
5. None of these

17. Find the range, mean, variance, and standard deviation of the sample data set.
14 12 13 8 20 7 18 16 15
The range is 13

= 13.7 (round to the nearest tenth as needed)
• = 25
S = 4.3

17 The maximum number of seats in a sample of 13 sport utility vehicles are listed below. Find the mean, median, and mode of the data.
8 10 11 11 8 7 7 7 9 7 7 7 8
Find the mean. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
8. The mean is 2
(Type the integer or decimal rounded to the nearest tenth as needed)
1. The data does not have a mean.
Find the median. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
1. The median is 8
(Type the integer or decimal rounded to the nearest tenth as needed)
1. The data does not have a median
Find the mode. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
1. The mode is 7
(Type the integer or decimal rounded to the nearest tenth as needed)
1. The data does not have a mode

18. The ages of 10 brides at their first marriage are given below.
35.9 32.6 28.7 37.7 44.7 31.3 29.5 23.2 22.4 33.6
(a) Find the range of the data set.
Range = 22.3 (round to the nearest tenth as needed)
(b) Change 44.7 to 61.3 and find the range of the new data set.
Range = 38.9 (round to the nearest tenth as needed)
(c) Compare your answer to part (a) with your answer to part (b)

1. Changing the maximum value of the data set does not affect the range
2. Changing the minimum value of the data set does not affect the range
3. Changing the minimum value of the data set greatly affects the range
4. Changing the maximum value of the data set greatly affects the range

18 Find the range, mean, variance, and standard deviation of the sample data set.
10 14 13 5 19 11 18 12 9
The range is14

19. Heights of men on a baseball team have a bell-shaped distribution with a mean of 185 cm and a standard deviation of 6 cm. Using the empirical rule, what is the approximate percentage of the men between the following values?
20. 173 cm and 197 cm
21. 167 cm and 203 cm

A 95% of the men are between 173 cm and 197 cm
B 99.7% of the men are between 167 cm and 203 cm (Do not round)

20. The mean value of land and buildings per acre from a sample of farms is $1400, with a standard deviation of $100. The data set has a bell-shaped distribution. Assume the number of farms in the sample is 70.
• Use the empirical rule to estimate the number of farms whose land and building values per acre are between $1300 and $1500.
48 farms (Round to the nearest whole number as needed)
• If 28 additional farms were sampled, about how many of these additional farms would you expect to have land and building value between $1300 per acre and $1500 per acre?
19 farms (Round to the nearest whole number as needed)

21. Use the box-and-whisker plot to identify
• The minimum entry
• The maximum entry
• The first quartile
• The second quartile
• The third quartile
• The interquartile range

• Min = 11
• Max = 21
• Q 1 = 14
• Q 2 = 16
• Q 3 = 18
• IQR = 4

• The ages of 10 brides at their first marriage are given below
22.6 23.735.6 39.2 44.7 29.6 30.8 31.7 24.5 28.2
(a) Find the range of the data set
Range =22.1
(Round to the nearest tenth as needed)
B Change 44.7 to 68.3 and find the range of the new data set
Range = 45.7
(Round to the nearest tenth as needed)

1. Compare your answer to part (a) with your answer to part (b).
• Changing the maximum value of the data set greatly affects the range
• Changing the minimum value of the data set greatly affects the range
• Changing the maximum value of the data set does not affect the range
• Changing the minimum value of the data set does not affect the range

20 Heights of men on a baseball team have a bell-shaped distribution with a mean of 172 cm and a standard deviation of 7 cm. Using the empirical rule, what is the approximate percentage of the men between the following values?
1. 151 cm and 193 cm
2. 165 cm and 179 cm

99. 7% of the men are between 151 cm and 193 cm (Do not round)
100. 68 % of the men are between 165 cm and 179 cm (Do not round)

20. The midpoints A, B, and C are marked on the histogram. Match them to the indicated scores. Which scores, if any, would be considered unusual?

The point A corresponds with z = -2.17
The point B corresponds with z = 0
The point C corresponds with z = 1.41
Which scores, if any, would be considered unusual?
1. 41
2. -2.17
3. 0
4. None