# statistics

Fall 2019

Critical Thinking Assignment 1 (50 points)

DUE DATE: OCT 2

INSTRUCTIONS:

In these critical thinking assignments, you are going to perform data analysis by comparing

students who were born outside the USA to students who were born in the USA on several

measures. Specifically, you are going to answer the following research questions:

1.

Do students who were born outside the USA have a higher mean GPA than students who

were born in in the USA?

2.

Do students who were born outside the USA spend more time on their homework than

students who were born in the USA?

3.

Do students who were born outside the USA have a higher mean age than students who

were born in the USA?

4.

Do students who were born outside the USA completed more credit hours than students

who were born in the USA?

In order to answer the research questions above, you will need to select a sample of students who

were born in the USA, and a sample of students who were born outside the USA, and compare

them on the selected measures above. Please follow the instructions below to select your sample

and then answer ALL of the questions which follow.

1.

Go into D2L and open the folder named

STUDENT SURVEY,

then open the file named

STUDENT SURVEY DATA FILE

.

2.

Using the random number generator

http://stattrek.com/Tables/Random.aspx

.

Select a

random sample of 30 students who were born in the USA and a random sample of 30

students who were born outside the USA using the variable “COB” (Country of Birth). The

data file is already sorted by country of birth. Students born outside the USA are listed from

# 1 through #171. Students born in the USA are listed from #172 through #435.

You can also

select your sample by using a systematic random sample but you must clearly specify the

method you used. For example, every 5

th

student, or every 10

th

student, etc.

3.

For each student selected in your samples, list the values for each of the following variables:

a.

Age

b.

Total Credit Hours

c.

GPA

d.

Hours spent on school work at home

Your final data file will look like this: (SEE BELOW)

STUDENT ID

AGE

TOTAL

CRD HRS

GPA

HRS SPENT ON SCHOOL WORK AT

HOME

4.

Using the variable Age, construct TWO frequency distributions to summarize the Ages of

students born in the USA and those born outside the USA. Use 5 classes to construct your

frequency distribution. For each frequency distribution, show your calculations for the class

width and then list the:

a.

Lower limits and upper limits

b.

Class boundaries

c.

Class mid-points

d.

Relative frequencies

e.

Cumulative frequencies

5.

Using the variable Total Credit Hours, construct TWO frequency distributions to summarize

the total credit hours completed by students born in the USA and those born outside the

USA. Use 5 classes to construct your frequency distribution. For each frequency

distribution, show your calculations for the class width and then list the:

a.

Lower limits and upper limits

b.

Class boundaries

c.

Class mid-points

d.

Relative frequencies

e.

Cumulative frequencies

6.

Using the variable hours spent on school work at home, construct TWO frequency

distributions to summarize the hours of students born in the USA and those born outside the

USA. Use 5 classes to construct your frequency distribution. For each frequency

distribution, show your calculations for the class width and then list the:

a.

Lower limits and upper limits

b.

Class boundaries

c.

Class mid-points

d.

Relative frequencies

e.

Cumulative frequencies

7.

Using Excel create six histograms, properly labeled, depicting the data from the frequency

distributions in # 4, #5, and #6 above.

8.

Describe the shape of the data for each of the six histograms. Is it normally distributed?

Positively skewed, negatively skewed, uniform? Or maybe the shape cannot be clearly

determined from your sample data, in which case you would indicate “shape cannot be

determined”.

9.

Make at least one observation about each of the frequency distributions or histograms you

have constructed? For example, with the “ages” of students, you could say that “xx percent

of students born in the USA are less than xx years old. Or you could say that “xx percent of

students born outside the USA have completed between xx and xx credit hours”.

10.

Turn in your data file, your frequency distributions, and your histograms in a folder with

your name clearly written at the top

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