Please look at the attached files below. I am assigned to do the CTA data set so when you look for the test value under the document ” Finals_Group dataset for exam…” look for only CTA DATA.
it223final_assorteddata_new.docx
finals_groupdataset_exam_testvalue_n.docx
cta_data.xlsx
Unformatted Attachment Preview
IT 223
Final
Estimation and Testing
Total Point: 100
Instruction: For full point
✓ Use this document as your document to submit. Do not change
the numbering. Add your answers to this document.
✓ Add your names to this document before you start.
✓ Write the name of your Dataset/excel file name before you start.
✓ Show all workings.
✓ All relevant graphs and tables must be copied over first and then
interpretations below them.
✓ Write up must be professional done (Clean, well formatted
document, meaningful explanation with tables and graphs)
Detail:
•
Assume 95% confidence level.
•
You are testing for two-tailed (Compute the two-sided statistical test)
•
Note: Any limitations in your variables must be stated. Examples, (1) how would your
findings be different if you have access to more information or more data? (2) If you
were to categories your variables by sex, race, nationality, income group or any other
relevant qualitative variables in your dataset, would your findings be different?
•
Submit only one copy per group. All names must be on the document submitted.
➢ Estimate using confidence interval about the mean. Use two quantitative variables
➢ Hypothesis testing (Test of Significance) Use same two quantitative variables as above.
Your test value is under the document “Finals_Group dataset for exam…”
1
Below are guidelines to help you think through how you need to complete each part.
1. Estimating with confidence interval: Use SPSS output (50 Pts)
i.
State your sample size
ii.
State your standard error Show how this value is gotten.
iii.
State your confidence interval and interpret in plain English. What is the formula used?
iv.
Calculate margin of error
v.
What is the impact of your margin of error on your findings? Explain.
vi.
Is there enough evidence to reject the null hypotheses, explain in plain English?
vii.
Make sure to add your tables and graphs from SPSS
2. Hypotheses testing: Follow up from part 1 above: Use SPSS output: (50 Pts)
i.
State your hypotheses
ii.
Show how the test statistics is gotten
iii.
State your P-value. Show how this value is gotten.
iv.
Is there enough evidence to reject the null hypotheses, explain in plain English?
v.
Does your conclusion support part 1 above. Explain your findings (Hint: Answer should
be same)
vi.
Make sure to add your SPSS relevant outputs
Repeat Part 1 and 2 for your other variable.
2
Extra Credit (20 pts)
1. Probability: show all your work for full point. (15 pts)
a) [3 points] What is the probability that the next 4 births at a hospital will be boys?
b) Assuming there are 265 students are taking PSY301 at DePaul University. The survey
shows that 168 of the students are male, and the remaining are females. 102 of them
live in the suburb of which 42 are female.
Use the above information to answer the questions below. Leave your answer in
percent and interpret in plain English.
i. [2 points] Complete the table and use the table to answer the following questions
below
Sex versus Residence
Residence
City
Sex
Female
Suburb
42
Male
Total
Total
168
102
265
ii. [2.5 points] If a student is chosen at random, what is the probability of choosing a
female or a student who resides in the suburb? Leave your answer in percent and
interpret in plain English
3
iii. [2.5 points] If a student is chosen at random, what is the probability of choosing a
male or a student who resides in the city? Leave your answer in percent and
interpret in plain English
iv. [2.5 points] If a student is chosen at random, what is the probability that the student
resides in the city given that the student is a female? Leave your answer in percent
and interpret in plain English.
v. [2.5 points] If a student is chosen at random and known to reside in the city, what is
the probability that the student is female? Leave your answer in percent and
interpret in plain English.
2. Sampling Distribution show all your work for full point. (5 pts)
A bank in a small town has 100,000 customers. A national survey on the banking habits
of people in U.S. shows that 80% of the people with income higher than 60,000 dollars
have both savings and checking accounts and also shows that the average number of
banking operations that a person aged 18 and over performs per week is 10. The manager
of the bank decides to do a survey among the customers of his bank and takes a simple
random sample of 350 customers aged 18 and over. In the sample, the average number of
banking transactions per week is 13 with standard deviation equal to 5.
4
a) The average number of times a customer carries out banking transactions per week is
_________ give or take ________ or so. Show how you computed your answers.
b) Give a 90% and a 99% confidence interval for the average number of banking operations
per week for the town residents aged 18 and over. What is the difference in Margin of
error, how does it affect your confidence interval. Show your working and interpret in
plain English
c) Is the apparent difference in banking habits between the nation and the customers of the
bank real or just due to chance? Explain for both 90% and 99% confidence levels.
d) A 95% confidence interval gives a range of values for the _______which are plausible
according to the observed data. Fill in the blanks.
(Possible answer: (A) Population average, (B) Sample average).
e) The sample standard deviation measures how far _______ is from sample average.
The standard deviation for the sample average measures how far __________is
from the population average – for typical
__________.
To fill in the blanks, choose among: (A) number of bank operations, (B) average number of
operations, (C) samples, (D) customers aged 18 and over, (E) bank, (F) person with high
income.
Submission
•
•
•
•
Write your name on your document.
Write the name of your excel file.
All relevant graphs and tables must be copied over first and then interpretations below
them.
Follow the format of this document.
5
IT223 group dataset Test values for Final Exam
Data of Interest: All Data are in Excel format. Write the name of your excel file in the document you want to turn in.
Use the first worksheet in the excel workbook for your final exam
Group/Name
1
2
3
4
5
Dataset
Variable
Sport
Age
Data Name: Soccer Data
Transportation
Data Name: CTA Data
Test Value for Hypothesis testing
Known average Age of soccer players is 26 years
Ratings
Known average Ratings is 66 out of 100
Bus Rides
Known average bus Ride is 820,528 rides
Rail Rides
Known average Rail boarding is 575,000 rides
Game
Global Sales
Data name: Video Game
Sales_Rating
Critic Scores
Known average Global sales is $0.42Million
Marriage
Data Name
Education_Inc Data
Renewable Energy
Data Name: Renewable
energy
Education Number
Hour.per.week
Known average years of Education = 12 yrs
Known average working hours/week = 40hr
Wind
Price
Known average electricity generated from Wind in
UK is 1500Kwh
Known average electricity generated from Wind in
UK is 900Kwh
Known average price of Diamond per carat is $3,500
Carat
The known weight of an average carat is 0.8 carat
6
Fashion
Data Name: Diamond
Data
Landfill
Known average Critic score is 70.5 out of 100
7
8
9
Movie Data
Airline:
Data Name: O’Hare
Data
Sport: Data Name
basketball_master_Dem
ography Data
Revenue
Known Average Revenue is $185 Million
Ratings
Known Average Rating is 7 out of 10
Arrival Delay
Known Average Arrival Delay is 3 minutes
Taxi Time
Known Average Taxi-In-Time is 14 minutes
Height
Known Average Height is 79 inches
Weight
Known Average Weight is 206 lb
service_date
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3/10/2002
3/11/2002
3/12/2002
3/13/2002
3/14/2002
3/15/2002
3/16/2002
3/17/2002
3/18/2002
3/19/2002
3/20/2002
3/21/2002
3/22/2002
3/23/2002
3/24/2002
3/25/2002
3/26/2002
3/27/2002
3/28/2002
3/29/2002
3/30/2002
3/31/2002
4/1/2002
4/2/2002
4/3/2002
4/4/2002
4/5/2002
4/6/2002
4/7/2002
4/8/2002
4/9/2002
4/10/2002
4/11/2002
4/12/2002
4/13/2002
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
W
W
W
W
A
U
W
W
W
W
W
A
U
W
W
W
W
W
A
U
W
W
W
W
W
A
U
W
W
W
W
W
A
U
W
W
W
W
W
A
U
W
W
W
W
W
A
4/14/2002
4/15/2002
4/16/2002
4/17/2002
4/18/2002
4/19/2002
4/20/2002
4/21/2002
4/22/2002
4/23/2002
4/24/2002
4/25/2002
4/26/2002
4/27/2002
4/28/2002
4/29/2002
4/30/2002
5/1/2002
5/2/2002
5/3/2002
5/4/2002
5/5/2002
5/6/2002
5/7/2002
5/8/2002
5/9/2002
5/10/2002
5/11/2002
5/12/2002
5/13/2002
5/14/2002
5/15/2002
5/16/2002
5/17/2002
5/18/2002
5/19/2002
5/20/2002
5/21/2002
5/22/2002
5/23/2002
5/24/2002
5/25/2002
5/26/2002
5/27/2002
5/28/2002
5/29/2002
5/30/2002
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
U
W
W
W
W
W
A
U
W
W
W
W
W
A
U
W
W
W
W
W
A
U
W
W
W
W
W
A
U
W
W
W
W
W
A
U
W
W
W
W
W
A
U
U
W
W
W
5/31/2002
6/1/2002
6/2/2002
6/3/2002
6/4/2002
6/5/2002
6/6/2002
6/7/2002
6/8/2002
6/9/2002
6/10/2002
6/11/2002
6/12/2002
6/13/2002
6/14/2002
6/15/2002
6/16/2002
6/17/2002
6/18/2002
6/19/2002
6/20/2002
6/21/2002
6/22/2002
6/23/2002
6/24/2002
6/25/2002
6/26/2002
6/27/2002
6/28/2002
6/29/2002
6/30/2002
7/1/2002
7/2/2002
7/3/2002
7/4/2002
7/5/2002
7/6/2002
7/7/2002
7/8/2002
7/9/2002
7/10/2002
7/11/2002
7/12/2002
7/13/2002
7/14/2002
7/15/2002
7/16/2002
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
W
A
U
W
W
W
W
W
A
U
W
W
W
W
W
A
U
W
W
W
W
W
A
U
W
W
W
W
W
A
U
W
W
W
U
W
A
U
W
W
W
W
W
A
U
W
W
7/17/2002
7/18/2002
7/19/2002
7/20/2002
7/21/2002
7/22/2002
7/23/2002
7/24/2002
7/25/2002
7/26/2002
7/27/2002
7/28/2002
7/29/2002
7/30/2002
7/31/2002
8/1/2002
8/2/2002
8/3/2002
8/4/2002
8/5/2002
8/6/2002
8/7/2002
8/8/2002
8/9/2002
8/10/2002
8/11/2002
8/12/2002
8/13/2002
8/14/2002
8/15/2002
8/16/2002
8/17/2002
8/18/2002
8/19/2002
8/20/2002
8/21/2002
8/22/2002
8/23/2002
8/24/2002
8/25/2002
8/26/2002
8/27/2002
8/28/2002
8/29/2002
8/30/2002
8/31/2002
9/1/2002
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
Group 1
W
W
W
A
U
W
W
W
W
W
A
U
W
W
W
W
W
A
U
W
W
W
W
W
A
U
W
W
W
W
W
A
U
W
W
W
W
W
A
U
W
W
W
W
W
A
U
9/2/2002
9/3/2002
9/4/2002
9/5/2002
9/6/2002
9/7/2002
9/8/2002
9/9/2002
9/10/2002
9/11/2002
9/12/2002
9/13/2002
9/14/2002
9/15/2002
9/16/2002
…
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