Section 2.1 Homework-Anais Hall-Garrison PDF

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Student: Anais Hall-Garrison Date: 06/09/18

Instructor: Jin Wang Course: Math 2620 01P Summer 2018

1. A frequency distribution lists the number

Assignment: Section 2.1 Homework

of occurrences of each category of data, while a relative frequency distribution

lists the proportion of occurrences of each category of data. 2. The pie chart below depicts the beverage size customers choose while at a fast food restaurant. Complete parts (a) through (c). Most popular beverage sizes at a restaurant

(a) What is the most popular size? What percentage of customers choose this size? A. Medium; 60%

XL 21%

B. XL; 21%

Small 13%

C. Large; 6%

Medium 60%

D. Small; 13%

Large 6%

(b) What is the least popular size? What percentage of customers choose this size? A. XL; 21% B. Large; 6% C. Medium; 60% D. Small; 13% (c) What percent of customers choose a small-sized beverage? A. 21% B. 19% C. 61% D. 13% 3. The following graph represents the results of a survey, in which a random sample of adults in a certain country was asked if a certain action was morally wrong in general. Complete parts (a) through (c) below.

Opinion Regarding an Action Depends on situation Morally wrong Morally acceptable 0

20 40 60 80 100 Percentage of respondents

(a) What percent of the respondents believe the action is morally acceptable? About

70

% of the respondents

(Round to the nearest whole number as needed.) (b) If there are 259million adults in the country, how many believe that the action is morally wrong? About 52 million adults (Round to the nearest million as needed.) (c) If a polling organization claimed that the results of the survey indicate that8 % of adults in the country believe that the action is acceptable in certain situations, would you say this statement is descriptive or inferential? Why? The statement is

inferential because it makes a prediction.

Frequency

446

Sometimes

962

Most of the time

348 43

Rarely

.202

Sometimes

.436

Most of the time

.158

Always

.019

(Round to three decimal places as needed.) (b) What percentage of respondents answered "Always"? 1.9 % (Round to one decimal place as needed.) (c) What percentage of respondents answered "Never" or "Rarely"? 38.7 % (Round to one decimal place as needed.) (d) Construct a frequency bar graph. Choose the correct answer below. A. Frequency

Rarely

.185

1000 750 500 250 0 N R S M A

Frequency

409

Relative Frequency

Never

1000 750 500 250 0

B.

N R S M A

C. Frequency

Never

Always

Response

1000 750 500 250 0 N R S M A

(e) Construct a relative frequency bar graph. Choose the correct answer below. A.

B.

Relative Freq.

Response

(a) Construct a relative frequency distribution of the data.

1 0.8 0.6 0.4 0.2 0

Relative Freq.

4. A national survey asked people, "How often do you eat out for dinner, instead of at home?" The frequencies were as follows. Complete parts (a) through (g).

1 0.8 0.6 0.4 0.2 0 N R S M A

N R S M A

Relative Freq.

C.

1 0.8 0.6 0.4 0.2 0

N R S M A

(f) Construct a pie chart. Choose the correct answer below. A.

B. N R S M A

C.

N R S M A

D. N R S M A

N R S M A

(g) Suppose a person claims that, "1.9 % of all people in the nation always eat out." Is this a descriptive or inferential statement? inferential descriptive

Response

Frequency

New York

1044

Chicago

417

San Diego

672

New York

.244

Chicago

.098

San Diego

.157

(Round to three decimal places as needed.) (b) What proportion of the tickets were for New York? .244 (Round to three decimal places as needed.) (c) Construct a frequency bar graph. Choose the correct answer below. A. Frequency

844

.197

1600 1200 800 400 0 L O N C S

Frequency

Orlando

Orlando

1600 1200 800 400 0

Frequency

1298

.304

1600 1200 800 400 0 L O N C S

B.

L O N C S

C.

(d) Construct a relative frequency bar graph. Choose the correct answer below. A.

B.

C.

Relative Freq.

Las Vegas

Relative Frequency

Las Vegas

Relative Freq.

Response

(a) Construct a relative frequency distribution of the data.

Relative Freq.

5. An airline offers discounted flights from Atlanta to five American cities. Below is a frequency distribution of the number of tickets purchased for each location based on a random sample of purchased tickets. Complete parts (a) through (f).

0.4 0.2 0 L O N C S

0.4 0.2 0

L O N C S

0.4 0.2 0 L O N C S

(e) Construct a pie chart. Choose the correct answer below. A.

B. L

L

L O N C S

C.

L O N C S

D. L O N C S

L O N C S

(f) A local news broadcast reported that 15.7 % of tickets purchased from the airline are for flights to San Diego. What is wrong with this statement? A. There is nothing wrong with the statement. B. The percentage is incorrect. C. No level of confidence is provided along with the estimate.

6. Suppose a survey was conducted in which participants were asked to disclose their favorite night for a particular activity. The results are summarized in the table. Complete parts (a) through (f) below. 1

Click the icon to view the table of data.

(a) Construct a frequency distribution. Day Sunday

Frequency 4

Monday

3

Tuesday

5

Wednesday

5

Thursday

1

Friday

15

Saturday

7

(b) Construct a relative frequency distribution. Day

Relative Frequency

Sunday

.100

Monday

.075

Tuesday

.125

Wednesday

.125

Thursday

.025

Friday

.375

Saturday

.175

(Round to three decimal places as needed.) (c) If you own a business that sells products related to the activity, which day would you purchase an advertisement in the local newspaper? Are there any days you would avoid purchasing advertising space? The best day to purchase advertising would probably be Thursday. The worst day to purchase advertising would probably be Saturday. (d) Construct a frequency bar graph. Choose the correct graph below.

0

Sun Mon Tues Wed Thu Fri Sat

C.

Frequency

20

10

20

Frequency

Frequency

B. 20

Frequency

A.

20

10 0

Sun Mon Tues Wed Thu Fri Sat

D. 10 0

Sun Mon Tues Wed Thu Fri Sat

10 0

Sun Mon Tues Wed Thu Fri Sat

(e) Construct a relative frequency bar graph. Choose the correct graph below. A.

Relative Frequency

B.

Relative Frequency

0.4

0.4

0.2

0.2

0 Sun Mon Tues Wed Thu Fri Sat

0 Sun Mon Tues Wed Thu Fri Sat

C.

D.

Relative Frequency

Relative Frequency

0.4

0.4

0.2

0.2

0

0

Sun Mon Tues Wed Thu Fri Sat

Sun Mon Tues Wed Thu Fri Sat

(f) Construct a pie chart. Choose the correct graph below. A.

Sun 10.0% Mon 7.5% Tues 12.5% Wed 12.5% Thu 2.5% Fri 37.5% Sat 17.5%

B.

Sun 7.5% Mon 12.5% Tues 12.5% Wed 2.5% Thu 37.5% Fri 17.5% Sat 10.0%

C.

Sun 10.0% Mon 17.5% Tues 7.5% Wed 37.5% Thu 12.5% Fri 12.5% Sat 2.5%

D.

Sun 17.5% Mon 37.5% Tues 2.5% Wed 12.5% Thu 12.5% Fri 7.5% Sat 10.0%

1: Click here to view the table of data. Wednesday Wednesday Tuesday Friday Tuesday Sunday Saturday

Sunday Friday Friday

Friday Friday Friday

Friday Friday Saturday

Friday Tuesday Monday

Friday Wednesday Sunday Saturday Saturday Monday Wednesday Friday Friday Saturday Saturday Monday Thursday Saturday Friday Sunday

Tuesday Wednesday Tuesday

Friday

Friday...