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MATH 211 1 MODULE 9 – PROJECT: T-TEST PROJECT

MATH 211 1 MODULE 9 – PROJECT: T-TEST PROJECTModule 9 – Project: t-Test Project Submittal
EMBRY-RIDDLE AERONAUTICAL UNIVERSITY
Statistics with Aviation Applications
MATH 211 1 MODULE 9 – PROJECT: T-TEST PROJECT SUBMITTAL 2 Module 9 – Project: t-Test Project Submittal T-Test Project
This T-Test project is to research if there is a cost difference for paperback books between
two major online book sellers, amazon.com and barnesandnoble.com. I chose 50 titles and
compared the prices between the two online dealers. Based off personal shopping experience and
initial data colleting I expect Amazon.com to have lower prices for paperback books than
Barnesandnoble.com. Population
I selected 50 paperback book titles that both Amazon.com and Barnesandnoble.com sell
on their websites. Variables and Data Collection I collected the data for all 50 paperback titles from www.Amazon.com and
www.barnesandnoble.com. I started by finding titles by looking at the New York Times best
sellers list that was listed on Amazon.com, then went to popular titles, and then whet to award
winning titles to get a total of 50 paperback book titles. While doing this I also recorded the price
for the title as well. After I made the first list based off of Amazon.com I then went to
Barnesandnoble.com, and recorded the prices they listed. As I was doing the price collecting I
realized that Barnesandnoble.com didn’t have a few of the titles in paperback so to keep the
integrity of the data I had to find alternate titles. MODULE 9 – PROJECT: T-TEST PROJECT SUBMITTAL 3 Statistical Test and Hypothesis Statement
I will be using StatCrunch to perform a two sample T-Test to analyze the data I collected.
The null hypothesis is that Amazon.com = Barnesandnoble.com and the alternate hypothesis is
that Amazon.com < Barnesandnoble.com. (H0: µ1 = µ2 , HA: µ1 < µ2)Results Descriptive statistics
I believe the conditions for a confidence interval and hypothesis test are met because the
sample sizes are evenly distributed.
95% confidence interval results:
Two sample T confidence interval:
1 : Mean of Amazon.com
2 : Mean of BarnesandNoble.com
1 – 2 : Difference between two means
(without pooled variances) DifferenceSample Diff. Std. Err.
DF
L. Limit U. Limit
1 – 2
-0.78780.3298966990.742564-1.4431243-0.1324757
Hypothesis test results:
Two sample T hypothesis test:
1 : Mean of Amazon.com
2 : Mean of BarnesandNoble.com
1 – 2 : Difference between two means
H0 : 1 – 2 = 0
HA : 1 – 2 < 0
(without pooled variances) DifferenceSample Diff. Std. Err.
DF
T-Stat P-value
1 – 2
-0.78780.3298966990.742564-2.3880203 0.0095 MODULE 9 – PROJECT: T-TEST PROJECT SUBMITTAL 4 Results:
Using the 95% confidence interval, the lower limit is -1.443 and the upper limit of
-0.132 with a standard error or 0.330 and a sample difference of -0788. The hypothesis results
resulted in a test statistic of -2.3880. The degree of freedom is 90.743 and the p-value is 0.0095.
Conclusion:
Based on the researched data, the p value is 0.0095, is significantly less than 0.05.
This tells me that it supports the alternate hypothesis and the null hypothesis can be rejected. The
95% confidence, the mean between Amazon.com and barnesandnoble.com is between (-1.443,
-0.132). This interval concludes that my alternate hypothesis that Amazon.com has lower
paperback book prices than barnesandnoble.com is true.
Discussion:
After going over the results of both tests, based off the p value and other information
produced from StatCrunch this supports that the alternate hypothesis that Amazon.com has lower
paperback book prices than barnesandnoble.com is true. MODULE 9 – PROJECT: T-TEST PROJECT SUBMITTAL 5 Appendix A
Titles surveyed for pricing information
Titles
Fifty Shades of Grey
The Hunger Games
Mockingjay
The Shack: Where Tragedy Confronts Eternity
A Man Called Ove: A Novel
Milk and Honey
The Handmaid’s Tale
Big Little Lies
A Dog’s Purpose: A Novel for Human
My Grandmother Asked Me to Tell You She’s Sorry
All the Missing Girls: A Novel
Bullseye
The Orphan’s Tale: A Novel
The Zookeeper’s Wife: A War Story
Alexander Hamilton
Originals: How Non-Conformists Move the World
I Am Not Your Negro:
A Long Way Home: A Memoir
Thinking, Fast and Slow
Dark Money: The Hidden History of the Billionaires Behind
the Rise of the Radical Right
Why I March: Images from the Woman’s March Around the
World
The New Jim Crow: Mass Incarceration in the Age of
Colorblindness
Love Lives Here: Finding What You Need in a World Telling
You What You Want
On Tyranny: Twenty Lessons from the Twentieth Century
How to Win Friends & Influence People
Uninvited: Living Loved When You Feel Less Than, Left Out,
and Lonely Amazon.co BarnesandNoble.c
m
om
10
10.3
6.7
6.7
7.92
7.92
7.05
9.18
9.97
10.16
8.99
9.16
8.69
9.49
10.22
11.28
6.04
9.99
9.98
10.17
10.49
10.69
8.79
9.51
8.79
9.51
9.66
9.75
12.57
12.82
11.59
11.59
9.55
9.6
9.89
10.33
7.75
9.75
10.61 10.61 10.71 10.71 11.97 12.8 9.99
5.65
7.99 10.15
7.99
9.52 8.49 9.89 MODULE 9 – PROJECT: T-TEST PROJECT SUBMITTAL
You Are Here: An Owner’s Manual for Dangerous Minds
The 7 Habits of Highly Effective People: Powerful Lessons in
Personal Change
Playing to the Edge: American Intelligence in the Age of
Terror
Rich Dad Poor Dad: What The Rich Teach Their Kids About
Money That the Poor and Middle Class Do Not!
Dereliction of Duty: Johnson, McNamara, the Joint Chiefs
of Staff, and the Lies That Led to Vietnam
I Wrote This For You
Our Numbered Days
Lilac Girls: A Novel
Why Do I Do That : Psychological Defense Mechanisms and
the Hidden Ways They Shape Our Lives
You Are a Badass: How to Stop Doubting Your Greatness
and Start Living an Awesome Life
Outliers: The Story of Success
Start with Why: How Great Leaders Inspire Everyone to
Take Action
Leaders Eat Last: Why Some Teams Pull Together and
Others Don’t
End of Watch: A Novel
The Sympathizer: A Novel
Custer’s Trials: A Life on the Frontier of a New America
Barbarian Days: A Surfing Life
Ozone Journal (Phoenix Poets)
Black Flags: The Rise of ISIS
The Fifth Season (The Broken Earth)
Ancillary Mercy (Imperial Radch)
The Cinder Spires: The Aeronaut’s Windlass
Seveneves: A Novel
Uprooted
References
www.Amazon.com
www.Barnesandnoble.com
www.statcrunch.com 6
8.79 10.98 8.49 10.31 9.27 10.11 7.12 7.99 10.79
11.37
10.45
10.44 11
11.59
10.45
10.55 14.02 13.87 7.75
10.62 9.19
10.83 7.19 9.52 10.89
8.99
9.52
11.87
6.8
14.65
10.63
9.52
6.97
9.14
9.78
8.7 10.89
9.99
9.52
11.88
10.11
14.86
10.73
9.52
9.52
9.99
10.71
9.52

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