Week 1 Homework Assignment

e the entire group of individuals or items being studied.

 

2.  The​ _________________ is/are a subset of the population that is being studied.

 

3.  A​ _________________ is a numerical measurement describing some characteristic of a population.

 

4.  A​ _________________ is a numerical measurement describing some characteristic of a sample.

 

5.  Suppose that a researcher is interested in the average standardized test score for fifth graders in a local school district. The fifth graders at a specific school would comprise a​ ___________ and their average test score would be a​ ___________.

 

6.  A​ ________________ variable classifies individuals based on some attribute or characteristic.

 

 

7.   A​ ________________ variable counts or measures something and has numeric values.

 

8. Can a qualitative variable have values that are​ numeric? Why or why​ not?

Choose the correct answer below.
A. ​No; by​ definition, qualitative variables must be categories or nonnumeric data.
B. ​Yes; it is possible to have numeric variables that do not count or measure​ anything, and, as a​ result, are qualitative rather than quantitative.
C. ​No; numeric variables have values that can be added or subtracted in a meaningful​ way, making them quantitative rather than qualitative.
D.  ​Yes; all qualitative variables are numeric.

 

9   Explain why Social Security Number is considered a qualitative variable even though it contains numbers.
Choose the correct answer below.

A. Social Security Number is a qualitative variable since there are a finite or countable number of values.

B.Since Social Security Number is a variable at the interval level of​ measurement, it must be qualitative rather than quantitative.

C.  Addition and subtraction of Social Security Numbers does not provide meaningful results. This makes it qualitative even though it is numeric.

D. Social Security Number is a qualitative variable since there are an infinite number of possible values that are not countable.

 

 

10.   A quantitative variable that has a finite or countable number of values is called​ _______.

 

11.   A quantitative variable that has an infinite number of possible values that are not countable is called​ _______.

 

12.  ​A(n) _______   is a numerical summary of a sample.
​A(n) _______  is a numerical summary of a population.

 

13.   Determine whether the variable is qualitative or quantitative.
Favorite brand of a computer

Is the variable qualitative or​ quantitative?
A. The variable is qualitative because it is  an attribute characteristic

B. The variable is  qualitative because it is  a numerical measure .

C.  The variable is quantitative because it is  an attribute characteristic .

D.  The variable is quantitative  because it is a numerical measure .

 

 

14.     Determine whether the variable is qualitative or quantitative.

Miles per hour at which a car is traveling

Is the variable qualitative or​ quantitative?

A.  The variable is quantitative because it is  an attribute characteristic .

B.  The variable is qualitative  because it is  an attribute characteristic .

C. The variable is quantitative because it is  an attribute characteristic

D.  The variable is quantitative  because it is a numerical measure .

 

15.   Determine whether the variable is discrete or continuous.

Length of rock song

Is the variable discrete or​ continuous?

A.  The variable is continuous  because it is not countable.

B.  The variable is discrete because it is not  countable.

C. The variable is discrete because it is countable.

D. The variable is continuous  because it is countable.

 

16. 

Determine whether the variable is discrete or continuous.

Weight of gravel in a pile

Is the variable discrete or​ continuous?

A.  The variable is continuous  because it is countable.

B.  The variable is discrete because it is  countable.

C. The variable is discrete because it is not countable.

D. The variable is continuous  because it is not countable.

 

17.

Determine whether the variable is discrete or continuous.

Number of touchdowns thrown by a quarterback

Is the variable discrete or​ continuous?

A.  The variable is continuous  because it is countable.

B.  The variable is continuous because it is not countable.

C. The variable is discrete because it is not countable.

D. The variable is discrete because it is countable.

 

 

18 .  The following Pareto chart shows the position played by the most valuable player​ (MVP) in a certain baseball league for the last  years. Use the chart to answer parts​ (a) through​ (d).

(a) Which position had the most​ MVPs?

The position with the most MVPs was  ____________

​(b) How many MVPs played  ​(​)?
  
___ MVPs played .

​(c) How many more MVPs played outfield​ (OF) than ​?
  
_______   more MVPs played outfield than .
​(Type a whole​ number.)

(d) There are three outfield positions​ (left field, center​ field, right​ field). Given​ this, how might the graph be​ misleading?
A.  The chart seems to show that one position has many more MVPs because three positions are combined into one. They should be separated.
B.  The positions or combinations of positions should be chosen so that all the bars are closer together in height.
C.  The graph is misleading because the bars are decreasing in height from left to right.
D.  All the information is​ true, so the graph is not misleading.

 

19. In a​ poll, a random sample of 2163 adults​ (aged 18 and​ over) was​ asked, “When you see an ad emphasizing that a product is made in your​ country, are you more likely to buy​ it, less likely to buy​ it, or neither more nor less likely to buy​ it?” The results of the survey are presented in the​ side-by-side graph. Complete parts ​(a) through ​(d) below. 

Part 3

Part 4

 

20 .    Determine whether the following statement is true or false.
​Stem-and-leaf plots are particularly useful for large sets of data.

 

21.  Determine whether the following statement is true or false.
The shape of the distribution shown is best classified as skewed left.

 

22.   Determine whether the following statement is true or false.
The shape of the distribution shown is best classified as uniform.

 

23.  An experiment was conducted in which two fair dice were thrown 100 times. The sum of the pips showing on the dice was then recorded. The frequency histogram to the right gives the results. Use the histogram to complete parts​ (a) through​ (f).

 

 

 

24.  Determine the original set of data.

The original set of data is

 

25.  The original set of data is

 

 

26.   The following data represent the number of grams of fat in breakfast meals offered at a local fast food restaurant. ​(a) Construct an ordered​ stem-and-leaf plot and ​(b) describe the shape of the distribution.

(a) Construct the ordered​ stem-and-leaf plot below.

 

​Legend: 5​ | 1 represents 51 grams of fat.

​(b) The distribution is

 

27 An insurance company crashed four cars of the same model at 5 miles per hour. The costs of repair for each of the four crashes were ​$414​, ​$438​, ​$451​, and ​$233 . Compute the​ mean, median, and mode cost of repair

Part 2

Part 3

 

28. The following data represent the amount of time​ (in minutes) a random sample of eight students took to complete the online portion of an exam in a particular statistics course. Compute the​ mean, median, and mode time.

Part 2

Part 3

 

 

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