cenario/Summary

Click to download the Week 2 Lab
Document (Links to an external site.)Links to an external site. to complete the
lab for this week. All of the directions are included in the document.

For use with the lab and
throughout the course, click to download Excel: A How-To Handout (Links to an
external site.)Links to an external site..

After some introductory comments,
the first question begins under the title Creating Graphs and is a pie chart.

The data for this lab is located
in the Files section of the Course Menu. If you are not able to locate the data
file, please contact your professor.

On the last page is a section is
titled Code Sheet. It is only there to explain what the variables in the data
set represent. In other words, the code sheet just lists the variable name and
the question used by the researchers on the survey instrument that produced the
data that are included in the Excel data file. Those are not questions for you
to answer, just information.

The document includes places where
you need to input the answers. Any place where you see a gray box is where you
need to put an answer.

MATH399 Statistics—Lab Week 2

Question 1 is worth 5 points and
each question after that is worth 4.5 points, for a total of 50 points for the
lab.

Name: _______________________

Statistical Concepts:

· Using Excel

· Graphics

· Shapes of distributions

· Descriptive statistics

NOTE: Directions for all labs are
given based on Excel 2013 for Windows. If you have another version of Excel,
you may need to research how to do the same steps.

Data in Excel

Ø
Excel is a powerful, yet user-friendly, data analysis software package.
You can launch Excel by finding the icon and double clicking on it. There are
detailed instructions on how to obtain the graphs and statistics you need for
this lab in each question. There is also a link to an Excel how to document on
the iLab page where you opened this file. Further, if you need more explanation
of the Excel functions you can do an internet search on the function like
“Excel standard deviation” or “Excel pivot table” for a variety of directions
and video demonstrations.

Ø
Data have already been formatted and entered into an Excel worksheet.
You will see the link on the page with this lab document. The names of each
variable from the survey are in the first row of the worksheet. All other rows
of the worksheet represent certain students’ answers to the survey questions.
Therefore, the rows are called observations and the columns are called
variables. Below, you will find a code sheet that identifies the correspondence
between the variable names and the survey questions.

Survey Code Sheet: Do NOT answer
these questions. The code sheet just lists the variables name and the question
used by the researchers on the survey instrument that produced the data that
are included in the Excel data file. This is just information. The first question
for the lab is after the code sheet.

Variable Name

Question

Drive

Question 1: How long does it take
you to drive to the school on average (to the nearest minute)?

State

Question 2: In what state/country
were you born?

Shoe

Question 3: What is your shoe
size?

Height

Question 4: What is your height to
the nearest inch?

Sleep

Question 5: How many hours did you
sleep last night?

Gender

Question 6: What is your gender?

Car

Question 7: What color of car do
you drive?

TV

Question 8: How long (on average)
do you spend a day watching TV?

Money

Question 9: How much money do you
have with you right now?

Coin

Question 10: Flip a coin 10 times.
How many times did you get tails?

Frequency Distributions

1. Create a frequency table for the variable
State. In the Excel file, you can click on Data and then Sort and choose State
as the variable on which to sort. Once sorted, you can count how many students
are from each state. From that table, use a calculator to determine the
relative percentages, as well as the cumulative percentages.

In the box below, type the states
from the database in a column to the left, then type the counts, and relative
and cumulative frequencies to the right of the respective state. Using the data
in the table, make a statement about what the frequency counts or percentages
tell about the data.

Creating Graphs

2. Create a bar chart for the frequency
table in Question 1. Select the State variable values. Click on Insertand then
click on the arrow on the bottom right of the Charts area and select Clustered
Column and click OK. (Again, different versions of Excel may need different
directions.) Add an appropriate title and axis label. Copy and paste the graph
here.

3. Create a pie chart for the variable Car.
Select the column with the Car variable, including the title of Car. Click on
Insert, and then Recommended Charts. It should show a clustered column and
click OK. Once the chart is shown, right click on the chart (main area) and
select Change Chart Type. Select Pie and OK. Click on the pie slices, right
click Add Data Labels, and select Add Data Callouts. Add an appropriate title.
Copy and paste the chart here.

4. Create a histogram for the variable
Height. Use the strategies in the text to create a frequency table of the
heights using the categories of 60–64, 65–69, 70–74, and 75–79. It may be
helpful to sort the data based on the Height variable first. Create a new
worksheet in Excel by clicking on the + along the bottom of the screen and type
in the categories and the frequency for each category. Then, select the
frequency table, click on Insert, then Recommended Charts and choose the column
chart shown and click OK. Right-click on one of the bars and select Format Data
Series. In the pop up box, change the Gap Width to 0. Add an appropriate title
and axis label. Copy and paste the graph here.

5. Create a stem and leaf chart for the
variable Money, using only the whole dollar amounts. This must be done by hand,
as Excel cannot do this type of chart. Using the tens value as the stem and the
ones value for the leaves, type a stem and leaf plot into the box below. It may
be helpful to sort the data based on the Money variable first.

Calculating Descriptive Statistics

6. Calculate descriptive statistics for the
variable Height by Gender. Click on Insert and then Pivot Table. Click in the
top box and select all the data (including labels) from Height through Gender.
Also click on new worksheet and then OK. On the right of the new sheet, click
on Height and Gender, making sure that Gender is in the Rows box and Height is
in the Values box. Click on the down arrow next to Height in the Values box and
select Value Field Settings. In the pop up box, click Average, then OK. Type in
the averages below. Then, click on the down arrow next to Height in the Values
box again and select Value Field Settings. In the pop up box, click on StdDev
then OK. Type the standard deviations below.

Mean

Standard Deviation

Females

Males

Ø
Select File > Save Worksheet As to save the data set. You must either
keep a copy of this data or download it again off the website for future labs.

Short Answer Writing Assignment

All answers should be complete
sentences.

7. What is the most common color of car for
students who participated in this survey? Explain how you arrived at your
answer.

8. What is seen in the histogram created for
the heights of students in this class (include the shape)? Explain your answer.

9. What is seen in the stem and leaf plot
for the money variable (including the shape)? Explain your answer.

10. Compare the mean for the heights of males and
the mean for the heights of females in these data. Compare the values and
explain what can be concluded based on the numbers.

11. Compare the standard deviation for the
heights of males and the standard deviation for the heights of females in the
class. Compare the values and explain what can be concluded based on the
numbers.

MATH399 Statistics—Lab Week 2

Question 1 is worth 5 points and
each question after that is worth 4.5 points, for a total of 50 points for the
lab.

Name: _______________________

Statistical Concepts:

· Using Excel

· Graphics

· Shapes of distributions

· Descriptive statistics

NOTE: Directions for all labs are
given based on Excel 2013 for Windows. If you have another version of Excel,
you may need to research how to do the same steps.

Data in Excel

Ø
Excel is a powerful, yet user-friendly, data analysis software package.
You can launch Excel by finding the icon and double clicking on it. There are
detailed instructions on how to obtain the graphs and statistics you need for
this lab in each question. There is also a link to an Excel how to document on
the iLab page where you opened this file. Further, if you need more explanation
of the Excel functions you can do an internet search on the function like
“Excel standard deviation” or “Excel pivot table” for a variety of directions
and video demonstrations.

Ø
Data have already been formatted and entered into an Excel worksheet.
You will see the link on the page with this lab document. The names of each
variable from the survey are in the first row of the worksheet. All other rows
of the worksheet represent certain students’ answers to the survey questions.
Therefore, the rows are called observations and the columns are called
variables. Below, you will find a code sheet that identifies the correspondence
between the variable names and the survey questions.

Survey Code Sheet: Do NOT answer
these questions. The code sheet just lists the variables name and the question
used by the researchers on the survey instrument that produced the data that
are included in the Excel data file. This is just information. The first
question for the lab is after the code sheet.

Variable Name

Question

Drive

Question 1: How long does it take
you to drive to the school on average (to the nearest minute)?

State

Question 2: In what state/country
were you born?

Shoe

Question 3: What is your shoe
size?

Height

Question 4: What is your height to
the nearest inch?

Sleep

Question 5: How many hours did you
sleep last night?

Gender

Question 6: What is your gender?

Car

Question 7: What color of car do
you drive?

TV

Question 8: How long (on average)
do you spend a day watching TV?

Money

Question 9: How much money do you
have with you right now?

Coin

Question 10: Flip a coin 10 times.
How many times did you get tails?

Frequency Distributions

1. Create a frequency table for the variable
State. In the Excel file, you can click on Data and then Sort and choose State
as the variable on which to sort. Once sorted, you can count how many students
are from each state. From that table, use a calculator to determine the
relative percentages, as well as the cumulative percentages.

In the box below, type the states
from the database in a column to the left, then type the counts, and relative
and cumulative frequencies to the right of the respective state. Using the data
in the table, make a statement about what the frequency counts or percentages
tell about the data.

Creating Graphs

2. Create a bar chart for the frequency
table in Question 1. Select the State variable values. Click on Insertand then
click on the arrow on the bottom right of the Charts area and select Clustered
Column and click OK. (Again, different versions of Excel may need different
directions.) Add an appropriate title and axis label. Copy and paste the graph
here.

3. Create a pie chart for the variable Car.
Select the column with the Car variable, including the title of Car. Click on
Insert, and then Recommended Charts. It should show a clustered column and
click OK. Once the chart is shown, right click on the chart (main area) and
select Change Chart Type. Select Pie and OK. Click on the pie slices, right
click Add Data Labels, and select Add Data Callouts. Add an appropriate title.
Copy and paste the chart here.

4. Create a histogram for the variable
Height. Use the strategies in the text to create a frequency table of the
heights using the categories of 60–64, 65–69, 70–74, and 75–79. It may be
helpful to sort the data based on the Height variable first. Create a new
worksheet in Excel by clicking on the + along the bottom of the screen and type
in the categories and the frequency for each category. Then, select the
frequency table, click on Insert, then Recommended Charts and choose the column
chart shown and click OK. Right-click on one of the bars and select Format Data
Series. In the pop up box, change the Gap Width to 0. Add an appropriate title
and axis label. Copy and paste the graph here.

5. Create a stem and leaf chart for the
variable Money, using only the whole dollar amounts. This must be done by hand,
as Excel cannot do this type of chart. Using the tens value as the stem and the
ones value for the leaves, type a stem and leaf plot into the box below. It may
be helpful to sort the data based on the Money variable first.

Calculating Descriptive Statistics

6. Calculate descriptive statistics for the
variable Height by Gender. Click on Insert and then Pivot Table. Click in the
top box and select all the data (including labels) from Height through Gender.
Also click on new worksheet and then OK. On the right of the new sheet, click
on Height and Gender, making sure that Gender is in the Rows box and Height is
in the Values box. Click on the down arrow next to Height in the Values box and
select Value Field Settings. In the pop up box, click Average, then OK. Type in
the averages below. Then, click on the down arrow next to Height in the Values
box again and select Value Field Settings. In the pop up box, click on StdDev
then OK. Type the standard deviations below.

Mean

Standard Deviation

Females

Males

Ø
Select File > Save Worksheet As to save the data set. You must either
keep a copy of this data or download it again off the website for future labs.

Short Answer Writing Assignment

All answers should be complete
sentences.

7. What is the most common color of car for
students who participated in this survey? Explain how you arrived at your
answer.

8. What is seen in the histogram created for
the heights of students in this class (include the shape)? Explain your answer.

9. What is seen in the stem and leaf plot
for the money variable (including the shape)? Explain your answer.

10. Compare the mean for the heights of males and
the mean for the heights of females in these data. Compare the values and
explain what can be concluded based on the numbers.

11. Compare the standard deviation for the
heights of males and the standard deviation for the heights of females in the
class. Compare the values and explain what can be concluded based on the
numbers.

week 4

Lab Overview

Scenario/Summary

Open the Week 4 Lab Document
(Links to an external site.)Links to an external site.. All of the directions
are included in the document.

The data for this lab are
available from your instructor. They are the same data that were used in the
Week 2 Lab.

The document includes places where
you need to input the answers. Any place where you see a gray box is where you
need to put an answer.

MATH399 Statistics

Week 4 Lab

Name: _______________________

Statistical Concepts:

· Probability

· Binomial Probability Distribution

Calculating Binomial Probabilities

Ø
Open a new Excel worksheet.

1. Open spreadsheet

2. In cell A1 type “success” as the label

3. Under that in column A, type 0 through 10
(these will be in rows 2 through 12)

4. In cell B1, type “one fourth”

5. In cell B2, type
“=BINOM.DIST(A2,10,0.25,FALSE)” [NOTE:
if you have Excel 2007, then the formula is BINOMDIST without the period]

6. Then copy and paste this formula in cells
B3 through B12

7. In cell C1, type “one half”

8. In cell C2, type
“=BINOM.DIST(A2,10,0.5,FALSE)”

9. Copy and paste this formula in cells C3
through C12

10. In cell D1 type “three fourths”

11. In cell D2, type
“=BINOM.DIST(A2,10,0.75,FALSE)”

12. Copy and paste this formula in cells D3
through D12

Plotting the Binomial
Probabilities

1. Create plots for the three binomial
distributions above. You can create the
scatter plots in Excel by selecting the data you want plotted, clicking on
INSERT, CHARTS, SCATTER, then selecting the first chart shown which is dots
with no connecting lines. Do this two
more times and for graph 2 set Y equal to ‘one half’ and X to ‘success’, and
for graph 3 set Y equal to ‘three fourths’ and X to ‘success’. Paste those three scatter plots in the grey
area below. (12 points)

Calculating Descriptive Statistics

Ø
You will use the same class survey results that were entered into the
Excel worksheet for the Week 2 iLab Assignment for question 2.

2. Calculate descriptive statistics for the
variable (Coin) where each of the students flipped a coin 10 times. Round your
answers to three decimal places and type the mean and the standard deviation in
the grey area below. (4 points)

Mean:

Standard deviation:

Short Answer Writing Assignment –
Both the calculated binomial probabilities and the descriptive statistics from
the class database will be used to answer the following questions. Round all numeric answers to three decimal
places.

3. List the probability value for each
possibility in the binomial experiment calculated at the beginning of this lab,
which was calculated with the probability of a success being ½. (Complete
sentence not necessary; round your answers to three decimal places) (10 points)

P(x=0)

P(x=6)

P(x=1)

P(x=7)

…

Drive (miles) State Shoe Size Height (inches) Sleep
(hours) Gender Car Color TV
(hours) Money (dollars) Coin

4 MI 9 69 7 F blue 5 34.00 5

6 SC 8 67 4 F red 5 44.00 5

6 OR 13 75 10 M red 6 9.00 4

20 MI 5 62 7 F black 3 21.00 4

25 GA 8 69 7 M silver 3 53.00 4

25 CA 8 69 6 F silver 4 45.00 4

28 NY 7 67 4 F black 1 41.00 4

29 TX 9 70 7 M silver 6 43.00 3

33 SC 11 65 8 M blue 1 20.00 4

36 TX 7 66 7 M orange 3 7.00 3

36 CA 12 71 7 M silver 3 5.00 5

36 MI 10 65 7 M blue 3 5.00 7

36 TX 11 69 6 M black 5 52.00 3

36 OR 9 65 7 M red 5 40.00 5

40 IL 8 68 6 M green 5 31.00 4

42 FL 8 63 7 F red 3 48.00 5

42 IL 8 65 8 F red 4 5.00 4

54 FL 9 70 8 F green 2 7.00 4

54 NY 11 70 7 M black 5 20.00 4

55 OH 8 67 7 F dark blue 4 43.00 4

63 PA 8 66 8 F silver 3 7.00 7

63 OR 5 60 8 F blue 4 53.00 4

71 MI 13 74 7 M orange 2 46.00 4

71 MI 8 64 6 F blue 5 1.00 4

73 FL 12 65 7 F red 4 29.00 3

76 NY 9 65 7 F red 3 10.00 6

76 MI 11 72 6 M green 5 37.00 4

76 PA 11 71 4 M silver 5 23.00 5

78 CA 9 71 7 M blue 2 47.00 2

80 PA 9 65 5 F red 1 40.00 4

80 PA 9 62 4 F red 1 47.00 4

80 CA 8 70 8 F black 2 16.00 7

80 NV 12 69 7 M white 4 3.00 4

88 MI 6 63 5 F red 3 45.00 6

94 KY 11 74 8 M red 3 32.00 4