QNT 10 QUESTION FOR ANSWER

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business_statistics_qnt.docx

1.

Two thousand three hundred frequent business travelers are asked which midwestern city they prefer: Indianapolis, Saint Louis, Chicago, or Milwaukee. 121 liked Indianapolis best, 444 liked Saint Louis, 1325 liked Chicago, and the remainder preferred Milwaukee. Develop a frequency table and a relative frequency table to summarize this information. (Round relative frequency to 3 decimal places.)

    

  City

Frequency

Relative Frequency

  Indianapolis

__________

__________

  St. Louis

__________

__________

  Chicago

__________

__________

  Milwaukee

__________

__________

2.

Molly's Candle Shop has several retail stores in the coastal areas of North and South Carolina. Many of Molly's customers ask her to ship their purchases. The following chart shows the number of packages shipped per day for the last 100 days.

Picture  

a.

What is this chart called?

 

   

 

----

Frequency polygon

----

Histogram

----

Bar chart

 

   

b.

What is the total number of frequencies?

 

  Frequencies

________ 

 

c.

What is the class interval?

 

  Class interval

__________

    

d.

What is the class frequency of the 20 up to 25 class?

 

  Class frequency

________ 

 

e.

What is the relative frequency of the 20 up to 25 class? (Round your answer to 2 decimal places.)

 

  Relative frequency

_______ 

 

f.

What is the midpoint of the 15 up to 20 class? (Round your answer to 1 decimal place.)

 

  Midpoint

_______ 

 

g.

On how many days were there 20 or more packages shipped?

 

  Number of days

________

3.

The following frequency distribution reports the number of frequent flier miles, reported in thousands, for employees of Brumley Statistical Consulting Inc., during the first quarter of 2013.

 

Frequent Flier Miles (000)

Number of Employees

0 up to 5     

5

 

5 up to 10     

13

 

10 up to 15     

23

 

15 up to 20     

8

 

20 up to 25     

4

 

 

         Total

 

 

a.

How many employees were studied?

 

 

  Number of employees

_______ 

 

b.

What is the midpoint of the first class? (Round your answer to 1 decimal place.)

 

 

  Midpoint

_______ 

 

d.

A frequency polygon is to be drawn. What are the coordinates of the plot for the last class?

 

 

4

 

4.

The following cumulative frequency polygon shows the hourly wages of a sample of certified welders in the Atlanta, Georgia, area.

picture  

a.

How many welders were studied?

 

  Number of welders

________ 

 

b.

What is the class interval?

 

  Class interval

________ 

 

c.

About how many welders earn less than $16 per hour?

 

  Number of welders

________ 

 

d.

About 50% of the welders make less than what amount?

 

  Amount

________ 

 

e.

Twenty of the welders studied made less than what amount?

 

  Amount

_________ 

 

f.

What percent of the welders make less than $15 per hour?

 

   Percent of welders

__________ 

5.

The frequency distribution representing the number of frequent flier miles accumulated by employees at Brumley Statistical Consulting Inc. is given below.

 

Frequent Flier Miles (000)

            Frequency

0 up to 3

 

5        

3 up to 6

 

12        

6 up to 9

 

23        

9 up to 12

 

8        

12 up to 15

 

2        

 

 

 

Total

 

50        

 

 

 

 

 

a.

How many employees accumulated less than 12,000 miles?

 

  Number of employees

___________

 

1.

Some people are in favor of reducing federal taxes to increase consumer spending and others are against it. Two persons are selected and their opinions are recorded. Assume no one is undecided.

 

Find the number of possible outcomes.

 

  Number of possible outcomes

________ 

2.

A quality control inspector selects a part to be tested. The part is then declared acceptable, repairable, or scrapped. Then another part is tested.

 

Find the number of possible of outcomes of this experiment regarding two parts.

 

  Number of possible outcomes

_______ 

3.

A survey of 34 students at the Wall College of Business showed the following majors:

 

  

 

  Accounting

10    

  Finance

5    

  Economics

3    

  Management

6    

  Marketing

10    

 

Excel Data File

 

Major

Students

Accounting

10

Finance

5

Economics

3

Management

6

Marketing

10

Total

34

Suppose you select a student and observe his or her major.

 

a.

What is the probability he or she is a management major? (Round your answer to 3 decimal places.)

 

  Probability

________ 

 

b.

Which concept of probability did you use to make this estimate?

 

  Probability

__________

4.

A large company must hire a new president. The Board of Directors prepares a list of five candidates, all of whom are equally qualified. Two of these candidates are members of a minority group. To avoid bias in the selection of the candidate, the company decides to select the president by lottery.

 

a.

What is the probability one of the minority candidates is hired? (Round your answer to 1 decimal place.)

 

  Probability

__________ 

 

b.

Which concept of probability did you use to make this estimate?

 

____EMPIRICAL

____CLASSIC

 

  ____RAMDOMNESS

____ UNIFORMITY

____INFERENCE

 

5.

In each of the following cases, indicate whether classical, empirical, or subjective probability is used.

 

a.

A baseball player gets a hit in 30 out of 100 times at bat. The probability is .3 that he gets a hit in his next at bat.

 

 

 

EMPIRICAL

SUBJECTIVE

CLASSIC

 

b.

A seven-member committee of students is formed to study environmental issues. What is the likelihood that any one of the seven is randomly chosen as the spokesperson?

 

 

 

 

EMPIRICAL

SUBJECTIVE

CLASSIC

 

c.

You purchase 1 of 5 million tickets sold for Lotto Canada. What is the likelihood you will win the $1 million jackpot?

 

 

 

EMPIRICAL

SUBJECTIVE

CLASSIC

 

 

d.

The probability of an earthquake in northern California in the next 10 years above 5.0 on the Richter Scale is .80.

 

 

 

 

EMPIRICAL

SUBJECTIVE

CLASSIC