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Description

Section 4.1 - Population, Sample, and Data

Instructions

Please work all homework questions and clearly label / place your answers in the

boxes (or parenthesis) provided. If you have questions, please feel free to email me at

Joshua.Patterson@tamuc.edu

MATH 179: Homework - Section 4.1 (3138976)

1. -Question Details JModd7 4.1.002. [1634367]

To study the eating habits of students at a local college, thirty randomly selected students were surveyed to determine the number of times they had purchased

food at the school cafeteria during the last week. The following results were obtained.

4 3 3 2 3 1 1 1 5 1

1 2 3 4 5 1 2 2 1 3

3 1 1 3 2 2 4 3 5 2

(a) Organize the given data by creating a frequency distribution.

Number of Times

Purchased FoodFrequency

1

2

3

4

5

(b) Construct a pie chart to represent the data.

(c) Construct a histogram using single-valued classes of data.

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2. -Question Details JModd7 4.1.004. [1634363]

To study the spending habits of shoppers in Orlando, Florida, fifty randomly selected shoppers at a mall were surveyed to determine the number of credit cards

they carried. The following results were obtained.

1 6 2 0 1 3 2 0 5 3 6 6 6 0

1 4 3 1 0 5 3 0 4 3 0 4 5 5

2 0 0 3 2 6 3 1 2 2 5 2 2 6

1 2 0 4 5 4 4 3

(a) Organize the given data by creating a frequency distribution.

Number of

Credit CardsFrequency

0

1

2

3

4

5

6

(b) Construct a pie chart to represent the data.

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(c) Construct a histogram using single-valued classes of data.

3. -Question Details JModd7 4.1.006. [1634373]

The weights, in pounds, of thirty-five packages of ground beef at the Cut Above Market were as follows.

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3.4 1.0 1.2 2.5 3.2 3.1 3.4 3.0 2.7

1.8 2.9 2.1 2.2 3.1 1.3 3.1 2.6 2.6

3.1 1.8 3.4 3.0 1.2 1.4 2.6 3.2 2.6

1.5 2.8 1.8 1.2 1.3 3.0 2.4 2.8

(a) Organize the given data by creating a frequency distribution. (Group the data into six intervals.)

x = Weight Frequency

0.5 ≤ x < 1.0

1.0 ≤ x < 1.5

1.5 ≤ x < 2.0

2.0 ≤ x < 2.5

2.5 ≤ x < 3.0

3.0 ≤ x < 3.5

(b) Construct a histogram to represent the data.

4. -Question Details JModd7 4.1.008.CMI. [1634372]

The frequency distribution shown in the following table lists the annual salaries of the managers at Universal Manufacturing of Melonville. Construct a histogram

to represent the data.

x = Salary

(thousands

of dollars)

Number of

Managers

30 ≤ x < 40 6

40 ≤ x < 50 12

50 ≤ x < 60 8

60 ≤ x < 70 7

70 ≤ x < 80 2

80 ≤ x < 90 6

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5. -Question Details JModd7 4.1.010. [1634374]

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To study the output of a machine that fills boxes with cereal, a quality control engineer weighed 150 boxes of Brand X cereal. The frequency distribution in the

following figure summarizes her findings. Construct a histogram to represent the data.

x = Weight

(ounces)

Number of

Boxes

15.3 ≤ x < 15.6 13

15.6 ≤ x < 15.9 24

15.9 ≤ x < 16.2 81

16.2 ≤ x < 16.5 22

16.5 ≤ x < 16.8 10

6. -Question Details JModd7 4.1.012.CMI. [1634370]

The age composition of the population of a certain country is given in the following table. Replace the interval "85 and over" with the interval 85 ≤ x ≤ 100 and

construct a histogram to represent the data.

Age (years)Number of People

(thousands)

0 < x < 5 16,177

5 ≤ x < 10 18,055

10 ≤ x < 15 20,225

15 ≤ x < 25 33,180

25 ≤ x < 35 36,393

35 ≤ x < 45 40,150

45 ≤ x < 55 35,080

55 ≤ x < 65 21,278

65 ≤ x < 85 27,754

85 and over 9,242

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7. -Question Details JModd7 4.1.014. [1634369]

In this exercise, use the age composition of students enrolled in institutions of higher education in a certain country.

Using the data below, replace the interval "35 and over" with the interval 35 ≤ x ≤ 60 and construct a histogram to represent the female data.

Age of

Females (years)

Number of

Students

14 ≤ x < 18 85,000

18 ≤ x < 20 1,903,000

20 ≤ x < 22 1,593,000

22 ≤ x < 25 1,309,000

25 ≤ x < 30 1,005,000

30 ≤ x < 35 668,000

35 and over 1,886,000

Total 8,449,000

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8. -Question Details JModd7 4.1.016. [1634366]

The frequency distribution shown in the following table lists the number of hours per day a randomly selected sample of teenagers spent watching television.

Where possible, determine what percent of the teenagers spent the following number of hours watching television. (Round your answers to one decimal place. If

not possible, enter IMPOSSIBLE.)

Hours per day

Number of

Teenagers

0 ≤ x < 1 17

1 ≤ x < 2 30

2 ≤ x < 3 23

3 ≤ x < 4 37

4 ≤ x < 5 28

5 ≤ x < 6 11

6 ≤ x < 7 16

(a) less than 4 hours

%

(b) at least 5 hours

%

(c) at least 1 hour

%

(d) less than 2 hours

%

(e) at least 2 hours but less than 4 hours

%

(f) more than 3.5 hours

%

9. -Question Details JModd7 4.1.017.CMI. [1634364]

The following table lists the top five reasons given by patients for emergency room visits. Construct a pie chart to represent the data.

Reason

Number of Patients

(thousands)

Stomach pain 7,152

Chest pain 5,639

Fever 5,311

Cough 3,016

Shortness of breath 2,944

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10. -Question Details JModd7 4.1.019.CMI. [1634368]

The following table lists the race of new AIDS cases in the United States in a certain year.

Race Male Female

White 10,042 1,714

Black 13,015 7,083

Hispanic 5,932 1,733

Asian 369 93

Native American 139 40

(a) Construct a pie chart to represent the male data.

(b) Construct a pie chart to represent the female data.

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(c) Compare the results of parts (a) and (b). What conclusions can you make? (Select all that apply.)

(d) Construct a pie chart to represent the total data.

Females have a higher percentage of blacks with new AIDS cases than males do.

Males have a higher percentage of blacks with new AIDS cases than females do.

Both Asian and Native American males and females are less than 2%.

Males have a higher percentage of whites with new AIDS cases than females do.

Females have a higher percentage of whites with new AIDS cases than males do.

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11. -Question Details JModd7 4.1.021. [1634365]

The following table lists some common specialties of physicians in the United States in a certain year.

Specialty Male Female

Family Practice 54,036 26,349

General Surgery 32,302 5,157

Internal Medicine 104,663 46,244

Obstetrics/Gynecology 24,844 17,299

Pediatrics 33,540 36,635

Psychiatry 27,217 13,088

(a) Construct a pie chart to represent the male data.

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(b) Construct a pie chart to represent the female data.

(c) Compare the results of parts (a) and (b). What conclusions can you make? (Select all that apply.)

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(d) Construct a pie chart to represent the total data.

A higher percentage of males than females are pediatricians.

A higher percentage of males are general surgeons than practice internal medicine.

A higher percentage of females than males are pediatricians.

A higher percentage of females than males are general surgeons

A higher percentage of males than females are general surgeons.

A higher percentage of females are general surgeons than practice psychiatry.

12. -Question Details JModd7 4.1.022.CMI. [1634371]

The following table lists the major metropolitan areas on intended residence for immigrants admitted to the United States in a certain year. Construct a pie chart

to represent the data.

Metropolitan

Area

Number of

Immigrants

Los Angeles/

Long Beach, CA100,391

New York, NY 86,885

Chicago, IL 41,638

Miami, FL 39,765

Washington DC 36,346

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Assignment Details

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