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2/7/2020 Homework Week 1 (ADA) – MATH120 Winter 2020 Session I, section I006, Spring 2020 | WebAssign

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Are data at the nominal level of measurement quantitative or qualitative?
both quantitative and

qualitative

qualitative

neither quantitative nor qualitative

quantitative

What is the difference between a parameter and a statistic?
A parameter is a numerical measurement describing data from a population. A statistic is a numerical measurement
describing data from a sample.

A parameter is a numerical measurement describing data from a sample. A statistic is an aspect of an individual subject or
object being measured.

A parameter is a numerical measurement describing data from a population. A statistic is an aspect of an individual
subject or object being measured.

A parameter is a numerical measurement describing data from a sample. A statistic is a numerical measurement
describing data from a population.

A parameter is an aspect of an individual subject or object being measured. A statistic is a numerical measurement
describing data from a sample.

A parameter is an aspect of an individual subject or object being measured. A statistic is a numerical measurement
describing data from a population.

Your best submission for each question part is
used for your score.

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2/7/2020 Homework Week 1 (ADA) – MATH120 Winter 2020 Session I, section I006, Spring 2020 | WebAssign

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What is the average miles per gallon (mpg) for all new hybrid small cars? Using Consumer Reports, a random sample of such
vehicles gave an average of 35.7 mpg.

(a) Identify the variable.
miles per gallon

new hybrid small cars

total miles

all cars

(b) Is the variable quantitative or qualitative?
quantitative

both quantitative and qualitative

qualitative

(c) What is the implied population?
all cars

all cars with average miles per gallon

the new hybrid cars that were examined

all new hybrid small cars

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2/7/2020 Homework Week 1 (ADA) – MATH120 Winter 2020 Session I, section I006, Spring 2020 | WebAssign

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Categorize these measurements associated with student life according to level: nominal, ordinal, interval, or ratio.

(a) Length of time to complete an exam
nominal

ordinal

interval

ratio

(b) Time of first class
nominal

ordinal
interval
ratio

(c) Major field of study
nominal

ordinal
interval
ratio

(d) Course evaluation scale: poor, acceptable, good
nominal

ordinal
interval
ratio

(e) Score on last exam (based on 100 possible points)
nominal

ordinal
interval
ratio

(f) Age of student
nominal

ordinal
interval
ratio

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Explain the difference between a simple random sample and a systematic sample. (Select all that apply.)
In a simple random sample, the only samples possible are those including every kth item from the random starting
position.

In a systematic sample, every sample of size n has an equal chance of being included.

In a simple random sample, the clusters to be included are selected at random and then all members of each selected
cluster are included.

In a systematic sample, the clusters to be included are selected at random and then all members of each selected cluster
are included.

In a systematic sample, random samples from each strata are included.

In a simple random sample, every sample of size n has an equal chance of being included.

In a systematic sample, the only samples possible are those including every kth item from the random starting position.

In a simple random sample, random samples from each strata are included.

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2/7/2020 Homework Week 1 (ADA) – MATH120 Winter 2020 Session I, section I006, Spring 2020 | WebAssign

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Modern Managed Hospitals (MMH) is a national for-profit chain of hospitals. Management wants to survey patients discharged
this past year to obtain patient satisfaction profiles. It wishes to use a sample of such patients. Several sampling techniques are
described below. Categorize each technique as simple random sample, stratified sample, systematic sample, cluster sample, or
convenience sample.

(a) Obtain a list of patients discharged from all MMH facilities. Divide the patients according to length of hospital stay
(2 days or less, 3-7 days, 8-14 days, more than 14 days). Draw simple random samples from each group.

simple random sample

stratified sample

systematic sample

cluster sample

convenience sample

(b) Obtain lists of patients discharged from all MMH facilities. Number these patients, and then use a random-number
table to obtain the sample.

simple random sample
stratified sample
systematic sample
cluster sample
convenience sample

(c) Randomly select some MMH facilities from each of five geographic regions, and then include all the patients on the
discharge lists of the selected hospitals.

simple random sample
stratified sample
systematic sample
cluster sample
convenience sample

(d) At the beginning of the year, instruct each MMH facility to survey every 500th patient discharged.
simple random sample

stratified sample
systematic sample
cluster sample
convenience sample

(e) Instruct each MMH facility to survey 10 discharged patients this week and send in the results.
simple random sample

stratified sample
systematic sample
cluster sample

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convenience sample

Which technique for gathering data (sampling, experiment, simulation, or census) do you think was used in the following
studies?

(a) An analysis of a sample of 31,000 patients from New York hospitals suggests that the poor and the elderly sue for
malpractice at one-fifth the rate of wealthier patients. (Journal of the American Medical Association).

sampling

experiment

simulation

census

(b) The effects of wind shear on airplanes during both landing and takeoff were studied by using complex computer
programs that mimic actual flight.

sampling
experiment
simulation
census

(c) A study of all league football scores attained through touchdowns and field goals was conducted by the National
Football League to determine whether field goals account for more scoring events than touchdowns (USA Today).

sampling
experiment
simulation
census

(d) An Australian study included 588 men and women who already had some precancerous skin lesions. Half got skin
cream containing a sunscreen with a sun protection factor of 17; half got an inactive cream. After 7 months, those using
the sunscreen with the sun protection had fewer precancerous skin lesions (New England Journal of Medicine).

sampling
experiment
simulation
census

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2/7/2020 Homework Week 1 (ADA) – MATH120 Winter 2020 Session I, section I006, Spring 2020 | WebAssign

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A data set with whole numbers has a low value of 20 and a high value of 89. (For each answer, enter an exact number.)

Find the class width for a frequency table with seven classes.

Find the class limits for a frequency table with seven classes.

Lower class limit — Upper class limit
First class —
Second class —
Third class —
Fourth class —
Fifth class —
Sixth class —
Seventh class —

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2/7/2020 Homework Week 1 (ADA) – MATH120 Winter 2020 Session I, section I006, Spring 2020 | WebAssign

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How long does it take to finish the 1161-mile Iditarod Dog Sled Race from Anchorage to Nome, Alaska? Finish times (to the
nearest hour) for 57 dogsled teams are shown below.

261 271 236 244 279 296 284 299 288

288 247 256 338 360 341 333 261 266

287 296 313 311 307 307 299 303 277

283 304 305 288 290 288 289 297 299

332 330 309 328 307 328 285 291 295

298 306 315 310 318 318 320 333 321

323 324 327

For this problem, use five classes.

(a) Find the class width. (Enter an exact number.)

(b) Make a frequency table showing class limits, class boundaries, midpoints, frequencies, relative frequencies, and
cumulative frequencies.

Class Limits Class Boundaries Midpoint Frequency
Relative

Frequency
Cumulative
Frequency

— —

— —
— —
— —
— —

(c) Draw a histogram. (Select the correct graph.)

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(d) Draw a relative-frequency histogram. (Select the correct graph.)

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(e) Categorize the basic distribution shape.
mound-shaped symmetrical

bimodal

uniform

skewed right

skewed left

(f) Draw an ogive. (Select the correct graph.)

2/7/2020 Homework Week 1 (ADA) – MATH120 Winter 2020 Session I, section I006, Spring 2020 | WebAssign

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A personnel office is gathering data regarding working conditions. Employees are given a list of five conditions that they might
want to see improved. They are asked to select the one item that is most critical to them. Which type of graph, circle graph or
Pareto chart, would be the most useful for displaying the results of the survey? Why?

Circle chart, because it shows the items in order of importance to employees.

Pareto chart, because it shows the items in order of importance to employees.

Circle chart, because it shows the total number of important issues to employees.

Pareto chart, because it shows the total number of important issues to employees.

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How do college professors spend their time? The National Education Association Almanac of Higher Education gives the following
average distribution of professional time allocation: teaching, 52%; research, 13%; professional growth, 6%; community
service, 11%; service to the college, 11%; and consulting outside the college, 7%. Make a pie chart showing the allocation of
professional time for college professors. (Select the correct graph.)

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The American Medical Association Center for Health Policy Research included data, by state, on the number of community
hospitals and the average patient stay (in days) in its publication State Health Care Data: Utilization, Spending, and
Characteristics. The data (by state) are shown in the table.

State
No. of

Hospitals

Average
Length
of Stay

Alabama 119 7

Alaska 16 5.7

Arizona 61 5.5

Arkansas 88 7

California 440 6

Colorado 71 6.8

Connecticut 35 7.4

Delaware 8 6.8

D.C. 11 7.5

Florida 227 7

Georgia 162 7.2

Hawaii 19 9.4

Idaho 41 7.1

Illinois 209 7.3

Indiana 113 6.6

Iowa 123 8.4

Kansas 133 7.8

Kentucky 107 6.9

Louisiana 136 6.7

Maine 38 7.2

Maryland 51 6.8

Massachusetts 101 7

Michigan 175 7.3

Minnesota 148 8.7

Mississippi 102 7.2

Missouri 133 7.4

Montana 53 10

Nebraska 90 9.6

Nevada 21 6.4

New Hampshire 27 7

New Jersey 96 7.6

New Mexico 37 5.5

New York 231 9.9

N. Carolina 117 7.3

N. Dakota 47 11.1

Ohio 193 6.6

Oklahoma 113 6.7

Oregon 66 5.3

Pennsylvania 236 7.5

Rhode Island 12 6.9

S. Carolina 68 7.1

S. Dakota 52 10.3

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Tennessee 122 6.8

Texas 421 6.2

Utah 42 5.2

Vermont 15 7.6

Virginia 98 7

Washington 92 5.6

W. Virginia 59 7.1

Wisconsin 129 7.3

Wyoming 27 8.5
Make a stem-and-leaf display of the data for the average length of stay in days. (Use the digit(s) to the left of the decimal point
as the stem and the digit to the right as the leaf.)

Comment about the general shape of the distribution.
The distribution is uniform.

The distribution is skewed right.

The distribution is skewed left.

The distribution is bimodal.

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