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Given that the consumption of nicotine is unsafe, can it be concluded that the first type of cigarette is safe?

A.

Since the first type of cigarette contains less nicotine than the second type of cigarette, the first type is less safe. However, it can still be concluded that it is safe.

B.

Since the first type of cigarette contains less nicotine than the second type of cigarette, the first type is safer. Therefore, it can be concluded that it is safe.

C.

Since the first type of cigarette contains less nicotine than the second type of cigarette, the first type is safer. However, it cannot be concluded that it is safe.

D.

Since the first type of cigarette contains less nicotine than the second type of cigarette, the first type is less safe. Therefore, it cannot be concluded that it is safe.

2

What does it mean for the findings of a statistical analysis of data to be statistically significant?

Choose the correct answer below.

A.

The results are very important to the health and well-being of a certain population.

B.

The outcome could easily occur by chance.

C.

The results do not make enough difference to be of use.

D.

The likelihood of getting these results by chance is very small.

3

Determine whether the given value is a statistic or a parameter.

The mean salary for construction workers is $ 45 comma 000.The mean salary for construction workers is $45,000.

Choose the correct answer below.

A.

The value is a

parameterparameter

because it is a numerical measurement describing some characteristic of a population.population.

B.

The value is a

statisticstatistic

because it is a numerical measurement describing some characteristic of a sample.sample.

C.

The value is a

statisticstatistic

because it is a numerical measurement describing some characteristic of a population.population.

D.

The value is a

parameterparameter

because it is a numerical measurement describing some characteristic of a sample.sample.

4

Determine whether the given value is from a discrete or continuous data set.

When a car is randomly selected, it is found to have

4 doors4 doors.

Choose the correct answer below.

A.

A

continuouscontinuous

data set because there are infinitely many possible values and those values cannot be counted.values cannot be counted.

B.

A

continuouscontinuous

data set because

there are infinitely many possible values and thosethere are infinitely many possible values and those

values can be counted.values can be counted.

C.

The data set is neither continuous nor discrete.

D.

A

discretediscrete

data set because

there are a finite number of possible values.there are a finite number of possible values.

nothing

5

Determine which of the four levels of measurement (nominal, ordinal, interval, ratio) is most appropriate for the data below.

Class times measured in minutesClass times measured in minutes

Choose the correct answer below.

A.

The

ratioratio

level of measurement is most appropriate because the data

can becan be

ordered commaordered,

differencesdifferences

can becan be

foundfound

and areand are

meaningful commameaningful,

and thereand there

is ais a

naturalnatural

startingstarting

zerozero

point.point.

B.

The

intervalinterval

level of measurement is most appropriate because the data

can becan be

ordered comma differences left parenthesis obtained by subtraction right parenthesis can be found and are meaningful comma andordered, differences (obtained by subtraction) can be found and are meaningful, and

there is no natural starting point.there is no natural starting point.

C.

The

ordinalordinal

level of measurement is most appropriate because the data

can becan be

ordered comma but differences left parenthesis obtained by subtraction right parenthesis cannot be found or areordered, but differences (obtained by subtraction) cannot be found or are

meaningless.meaningless.

D.

The

nominalnominal

level of measurement is most appropriate because the data

cannot becannot be

ordered.ordered.

6

What is the difference between a random sample and a simple random sample?

Choose the correct answer below.

A.

With a random sample, each individual has the same chance of being selected. With a simple random sample, all samples of the same size have the same chance of being selected.

B.

With a random sample, all samples of the same size have the same chance of being selected. With a simple random sample, each individual has the same chance of being selected.

7

Identify the type of sampling used: random, systematic, convenience, stratified, or cluster.

To estimate the percentage of defects in a recent manufacturing batch, a quality control manager at

SonySony

selects every

1313th

music CDmusic CD

that comes off the assembly line starting with the

secondsecond

until she obtains a sample of

6060

music CDsmusic CDs.

Which type of sampling is used?

A.

Stratified

B.

Random

C.

Systematic

D.

Convenience

E.

Cluster

8

What is the class width?

(Type an integer or a decimal.)

What are the class midpoints?

(Use ascending order. Type integers or decimals.)

What are the class boundaries?

(Use ascending order. Type integers or decimals.)

9

Refer to the accompanying data set and use the 30 screw lengths to construct a frequency distribution. Begin with a lower class limit of

2.9702.970

in, and use a class width of 0.010 in. The screws were labeled as having a length of

3 in.3 in.

Does the frequency distribution appear to be consistent with the label? Why or why not?

LOADING…

Click on icon to view the data.

Complete the frequency distribution below.

(Type integers or decimals rounded to the nearest thousandth as needed.)

Does the frequency distribution appear to be consistent with the label?

A.

Yes, because the frequencies are greatest in the classes closest to the labeled size.

B.

No, because the screw lengths are off by as much as 0.03 in.

C.

Yes, because the screw lengths are no more than .03 in off the labeled size.

D.

No, because the class frequencies are not consistent.

10

What is the class width?

The class width is

(Simplify your answer.)

What are the approximate lower and upper class limits of the first class?

The approximate lower class limit is

The approximate upper class limit is

(Simplify your answers.)

11

The table provided below shows paired data for the heights of a certain country’s presidents and their main opponents in the election campaign. Construct a scatterplot. Does there appear to be a correlation?

LOADING…

Click the icon to view the data table for election heights.

Construct a scatterplot. Choose the correct graph below.

A.

160200160200President’s heightOpponent’s height

A scatterplot with horizontal scale labeled “President’s height” from 160 to 200 in intervals of 5 and vertical scale labeled “Opponent’s height” from 160 to 200 in intervals of 5 contains the following 16 plotted points, listed here from left to right: (168, 170); (171, 171); (171, 175); (173, 175); (175, 179); (176, 180); (177, 181); (178, 182); (181, 182); (182, 183); (185, 186); (190, 188); (192, 189); (192, 189); (193, 190); (196, 191).

B.

160200160200President’s heightOpponent’s height

A scatterplot with horizontal scale labeled “President’s height” from 160 to 200 in intervals of 5 and vertical scale labeled “Opponent’s height” from 160 to 200 in intervals of 5 contains the following 16 plotted points, listed here from left to right: (170, 196); (171, 193); (175, 192); (175, 192); (179, 190); (180, 185); (181, 182); (182, 181); (182, 178); (183, 177); (186, 176); (188, 175); (189, 173); (189, 171); (190, 171); (191, 168).

C.

160200160200President’s heightOpponent’s height

A scatterplot with horizontal scale labeled “President’s height” from 160 to 200 in intervals of 5 and vertical scale labeled “Opponent’s height” from 160 to 200 in intervals of 5 contains the following 16 plotted points, listed here from left to right: (168, 189); (171, 179); (171, 183); (173, 182); (175, 182); (176, 186); (177, 175); (178, 181); (181, 188); (182, 190); (185, 189); (190, 191); (192, 170); (192, 175); (193, 171); (196, 180).

D.

160200160200President’s heightOpponent’s height

A scatterplot with horizontal scale labeled “President’s height” from 160 to 200 in intervals of 5 and vertical scale labeled “Opponent’s height” from 160 to 200 in intervals of 5 contains the following 16 plotted points, listed here from left to right: (170, 192); (171, 193); (175, 177); (175, 192); (179, 171); (180, 196); (181, 178); (182, 173); (182, 175); (183, 171); (186, 176); (188, 181); (189, 168); (189, 185); (190, 182); (191, 190).

Does there appear to be a correlation between the president’s height and his opponent’s height?

A.

Yes, there appears to be a correlation. As the president’s height increases, his opponent’s height decreases.

B.

Yes, there appears to be a correlation. As the president’s height increases, his opponent’s height increases.

C.

Yes, there appears to be a correlation. The candidate with the highest height usually wins.

D.

No, there does not appear to be a correlation because there is no general pattern to the data.

12

Construct a scatter diagram.

A.

048121620048121620TarCO

A scatter diagram with horizontal scale labeled “Tar” from 0 to 20 in intervals of 1 and vertical scale labeled “CO” from 0 to 20 in intervals of 1 contains the following 15 plotted points, listed here from left to right: (1, 15); (2, 10); (5, 15); (6, 7); (8, 13); (10, 3); (11, 7); (11, 15); (14, 1); (14, 16); (15, 10); (15, 11); (15, 14); (16, 18); (18, 10).

B.

048121620048121620TarCO

A scatter diagram with horizontal scale labeled “Tar” from 0 to 20 in intervals of 1 and vertical scale labeled “CO” from 0 to 20 in intervals of 1 contains the following 15 plotted points, listed here from left to right: (1, 18); (2, 16); (5, 15); (6, 15); (8, 15); (10, 14); (11, 13); (11, 11); (14, 10); (14, 10); (15, 10); (15, 7); (15, 7); (16, 3); (18, 1).

C.

048121620048121620TarCO

A scatter diagram with horizontal scale labeled “Tar” from 0 to 20 in intervals of 1 and vertical scale labeled “CO” from 0 to 20 in intervals of 1 contains the following 15 plotted points, listed here from left to right: (1, 1); (2, 3); (5, 7); (6, 7); (8, 11); (10, 10); (11, 10); (11, 10); (14, 13); (14, 15); (15, 14); (15, 15); (15, 16); (16, 15); (18, 18).

D.

048121620048121620TarCO

A scatter diagram with horizontal scale labeled “Tar” from 0 to 20 in intervals of 1 and vertical scale labeled “CO” from 0 to 20 in intervals of 1 contains the following 15 plotted points, listed here from left to right: (1, 1); (3, 2); (7, 5); (7, 6); (10, 10); (10, 11); (10, 11); (11, 8); (13, 14); (14, 15); (15, 14); (15, 15); (15, 16); (16, 15); (18, 18).

Is there a relationship between cigarette tar and CO?

A.

Yes, as the amount of tar increases the amount of carbon monoxide also increases.

B.

No, there appears to be no relationship.

C.

Yes, as the amount of tar increases the amount of carbon monoxide decreases.

13

What impression does the graph create?

A.

The graph creates the impression that men have salaries that are slightly higher than that of women.

B.

The graph creates the impression that men and women have approximately the same salaries.

C.

The graph creates the impression that men have salaries that are more than twice the salaries of women.

D.

The graph creates the impression that women have salaries that are slightly higher than that of men.

Does the graph depict the data fairly?

A.

No, because the vertical scale does not start at zero.

B.

No, because the data are two-dimensional measurements.

C.

Yes, because the vertical scale is appropriate for the data.

D.

Yes, because the bars accurately represent each average.

If the graph does not depict the data fairly, which graph below does?

A.

Salaries ($)

WomenMen020000400006000080000

B.

Salaries ($)

WomenMen020000400006000080000

C.

Salaries ($)

WomenMen52500600006750075000

14

Listed below are the annual tuition amounts of the 10 most expensive colleges in a country for a recent year. What does this “Top 10” list tell us about the population of all of that country’s college tuitions?

$ 53 comma 242$53,242

$ 53 comma 989$53,989

$ 50 comma 891$50,891

$ 53 comma 831$53,831

$ 51 comma 996$51,996

$ 54 comma 293$54,293

$ 51 comma 714$51,714

$ 53 comma 580$53,580

$ 54 comma 293$54,293

$ 51 comma 228$51,228

Find the mean, midrange, median, and mode of the data set.

The mean of the data set is

$

(Round to two decimal places as needed.)

The midrange of the data set is

$

(Round to two decimal places as needed.)

The median of the data set is

$

(Round to two decimal places as needed.)

What is (are) the mode(s) of the data set?

Select the correct choice below and, if necessary, fill in the answer box within your choice.

A.

The mode(s) of the data set is (are)

$

(Use a comma to separate answers as needed. Round to two decimal places as needed.)

B.

There is no mode.

What does this “Top 10” list tell us about the population of all the country’s college tuitions?

A.

All colleges have tuitions around the median.

B.

All colleges have tuitions around the midrange.

15

Statistics are sometimes used to compare or identify authors of different works. The lengths of the first 10 words in a book by Terry are listed with the first 10 words in a book by David. Find the mean and median for each of the two samples, then compare the two sets of results.

The mean number of letters per word in Terry’s book is

The median number of letters per word in Terry’s book is

The mean number of letters per word in David’s book is

The median number of letters per word in David’s book is

Compare the two sets of results. Does there appear to be a difference?

A.

Yes. Based on the results, words in Terry’s book are

longer thanlonger than

the words in David’s book.

B.

No. Based on the results, words in Terry’s book are the same length as the words in David’s book.

C.

Yes. Based on the results, words in Terry’s book are

shorter thanshorter than

the words in David’s book.

16

Use the magnitudes (Richter scale) of the earthquakes listed in the data set below. Find the mean and median of this data set. Is the magnitude of an earthquake measuring 7.0 on the Richter scale an outlier (data value that is very far away from the others) when considered in the context of the sample data given in this data set? Explain.

LOADING…

Click the icon to view the earthquake Richter scale data.

Find the mean and median of the data set using a calculator or similar data analysis technology.

The mean of the data set is

(Round to three decimal places as needed.)

The median of the data set is

(Round to three decimal places as needed.)

Is the magnitude of an earthquake measuring 7.0 on the Richter scale an outlier when considered in the context of the sample data given?

A.

Yes, because this value is very far away from all of the other data values.

B.

No, because this value is not very far away from all of the other data values.

C.

No, because this value is not the maximum data value.

D.

Yes, because this value is the maximum data value.

17

Which of the following is NOT a characteristic of the mean?

Choose the correct answer below.

A.

The mean takes every data value into account.

B.

The mean is relatively reliable.

C.

The mean is called the average by statisticians.

D.

The mean is sensitive to outliers.

18

Which of the following is always true?

Choose the correct answer below.

A.

Data skewed to the right have a longer left tail than right tail.

B.

For skewed data, the mode is farther out in the longer tail than the median.

C.

In a symmetric and bell-shaped distribution, the mean, median, and mode are the same.

D.

The mean and median should be used to identify the shape of the distribution.