Assistance for AMU MATH 120 Intro to statistics quiz week 1 answers American Military University is available at Domyclass

Table of Contents

#### MATH 120 AMU Quiz 1 question 1

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

Quantitative

both quantitative and qualitative

neither quantitative nor qualitative

qualitative

#### MATH 120 AMU Quiz 1 question 2

What is the difference between a parameter and a statistic?

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 a

numerical measurement describing data from a sample

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 an aspect of an individual subject or object being measured. A statistic is a

numerical measurement describing data from a population.

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.

#### MATH 120 AMU Quiz 1 question 3

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.

- Identify the variable.
- all cars
- miles per gallon
- total miles
- new hybrid small cars

(b) Is the variable quantitative or qualitative?

quantitative

qualitative

both quantitative and qualitative

(c) What is the implied population?

all cars with average miles per gallon all

new hybrid small cars

the new hybrid cars that were examined

all cars

#### MATH 120 AMU Quiz 1 question 4

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

- Length of time to complete an exam

Nominal

Ordinal

Interval

Ratio

- Time of first class

- Nominal
- Ordinal
- Interval
- Ratio

(c) Major field of study

Nominal

Ordinal

Interval

Ratio

D (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

#### MATH 120 AMU Quiz 1 question 5

Explain the difference between a simple random sample and a systematic sample. (Select all that apply.)

In a simple random sample, every sample of size n has an equal chance of being 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 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, random samples from each strata are included.

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 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.

#### MATH 120 AMU Quiz 1 question 6

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*.

- 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

Convenience sample

#### MATH 120 AMU Quiz 1 question 7

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

- 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*).

Simple random Sample

Stratified sample

Systematic sample

Cluster sample

Convenience sample

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

Simple random Sample

Stratified sample

Systematic sample

Cluster sample

Convenience sample

- 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*).

Simple random Sample

Stratified sample

Systematic sample

Cluster sample

Convenience sample

- 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*).

Simple random Sample

Stratified sample

Systematic sample

Cluster sample

Convenience sample

#### MATH 120 AMU Quiz 1 question 8

A data set with whole numbers has a low value of 20 and a high value of 82. (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.

#### MATH 120 AMU Quiz 1 question 9

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.

- Find the class width. (Enter an exact number.)
- Make a frequency table showing class limits, class boundaries, midpoints, frequencies, relative frequencies, and cumulative frequencies.
- Draw a histogram. (Select the correct graph.)

#### MATH 120 AMU Quiz 1 question 10

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?

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

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

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

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

#### MATH 120 AMU Quiz 1 question 11

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, 47%;

research, 18%; 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.)

#### MATH 120 AMU Quiz 1 question 12

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.

**Average**

**No.** **of** **Length**

**State** **Hospitals** **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

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 bimodal.

The distribution is uniform.

The distribution is skewed left.

The distribution is skewed right.