1, Does an outfit really improve a professional swimmer's time? To test this, ten professional swim- mers swam a 100 m race wearing three different outfits: a full-body water repellent suit, water- repellent trunks, and non-water repellent trunks. The table below gives the swimmers' time in seconds. At the 5% significance level, determine if the outfit does indeed make a difference. Also test to determine if the swimmer was a confounding factor. Swimmer 1 3. 4 7 8 10 Full-Body Water Repellent Suit Water-Repellent Trunks 49.80 50.52 49.36 50.02 50.36 49.89 50.31 50.05 50.81 49.73 51.07 53.4752.91 53.0753.11 52.8953.14 53.07 53 52.68 Non-Water 53.66 54.91 54.55 53.85 54.63 55.01 55.39 53.93 55.69 55.21 Repellent Trunks 2. With the increase in online courses, university researchers are interested to learn if there is a difference in the average overall grade for students taking an online statistics course with and without video supplements versus students taking a traditional in-class statistics course. Since it is believed that a student's previous statistical knowledge can affect the outcome, the research- ers blocked the students based on their previous statistical knowledge from taking AP statistics: scored 4 or above on the AP Statistics exam, scored below a 3 on the AP Statistics exam, or did not take AP Statistics. The table below gives the student's overall grades. Treatments Blocks In-Class Course On-line with Video On-line without Videos Scored 4 or Above on the AP Statistics Exam 90 93 89 86 88 90 82 84 85 88 79 83 79 76 78 75 77 81 Scored 3 or Below on the AP 91 89 90 93 95 92 86 87 82 82 89 88 81 83 86 82 79 76 statistics Exam Did not Take 93 89 97 88 92 86 86 88 84 87 89 85 78 76 80 77 75 79 AP Statistics a. Test whether the average overall scores differ for the three different types of statistic courses. b. Is there a benefit to blocking on the student's previous statistical knowledge? Justify your answer.
1, Does an outfit really improve a professional swimmer's time? To test this, ten professional swim- mers swam a 100 m race wearing three different outfits: a full-body water repellent suit, water- repellent trunks, and non-water repellent trunks. The table below gives the swimmers' time in seconds. At the 5% significance level, determine if the outfit does indeed make a difference. Also test to determine if the swimmer was a confounding factor. Swimmer 1 3. 4 7 8 10 Full-Body Water Repellent Suit Water-Repellent Trunks 49.80 50.52 49.36 50.02 50.36 49.89 50.31 50.05 50.81 49.73 51.07 53.4752.91 53.0753.11 52.8953.14 53.07 53 52.68 Non-Water 53.66 54.91 54.55 53.85 54.63 55.01 55.39 53.93 55.69 55.21 Repellent Trunks 2. With the increase in online courses, university researchers are interested to learn if there is a difference in the average overall grade for students taking an online statistics course with and without video supplements versus students taking a traditional in-class statistics course. Since it is believed that a student's previous statistical knowledge can affect the outcome, the research- ers blocked the students based on their previous statistical knowledge from taking AP statistics: scored 4 or above on the AP Statistics exam, scored below a 3 on the AP Statistics exam, or did not take AP Statistics. The table below gives the student's overall grades. Treatments Blocks In-Class Course On-line with Video On-line without Videos Scored 4 or Above on the AP Statistics Exam 90 93 89 86 88 90 82 84 85 88 79 83 79 76 78 75 77 81 Scored 3 or Below on the AP 91 89 90 93 95 92 86 87 82 82 89 88 81 83 86 82 79 76 statistics Exam Did not Take 93 89 97 88 92 86 86 88 84 87 89 85 78 76 80 77 75 79 AP Statistics a. Test whether the average overall scores differ for the three different types of statistic courses. b. Is there a benefit to blocking on the student's previous statistical knowledge? Justify your answer.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 22EQ
Related questions
Question
100%
Please show all work
Transcribed Image Text:Section 2: Homework
Show all work/steps! You must use JMP to analyze the data.
(1.) Does an outfit really improve a professional swimmer's time? To test this, ten professional swim-
mers swam a 100 m race wearing three different outfits: a full-body water repellent suit, water-
repellent trunks, and non-water repellent trunks. The table below gives the swimmers' time in
seconds. At the 5% significance level, determine if the outfit does indeed make a difference. Also
test to determine if the swimmer was a confounding factor.
Swimmer
1
7
8
9 10
Full-Body Water
Repellent Suit
Water-Repellent
Trunks
49.80 50.52 49.36 50.02 50.36 49.89 50.31 50.05 50.81 49.73
51.07 53.47 52.91 53.07 53.11 52.89 53.14 53.07 53
52.68
Non-Water
53.66 54.91 54.55 53.85 54.63 55.01 55.39 53.93 55.69 55.21
Repellent Trunks
2. With the increase in online courses, university researchers are interested to learn if there is a
difference in the average overall grade for students taking an online statistics course with and
without video supplements versus students taking a traditional in-class statistics course. Since
it is believed that a student's previous statistical knowledge can affect the outcome, the research-
ers blocked the students based on their previous statistical knowledge from taking AP statistics:
scored 4 or above on the AP Statistics exam, scored below a 3 on the AP Statistics exam, or did not
take AP Statistics. The table below gives the student's overall grades.
Treatments
Blocks
In-Class Course
On-line with Video
On-line without Videos
Scored 4 or
Above on the AP
9 93 89 86 88 90
82 84 85 88 79 83
79 76 78 75 77 81
Statistics Exam
Scored 3 or
Below on the AP
91 89 90 93 95 92
86 87 82 82 89 88
81 83 86 82 79 76
statistics Exam
Did not Take
93 89 97 88 92 86
86 88 84 87 89 85
78 76 80 77 75 79
AP Statistics
a. Test whether the average overall scores differ for the three different types of statistic courses.
b. Is there a benefit to blocking on the student's previous statistical knowledge? Justify your
answer.
Testing More Than Two Pooulation M.
4-
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Recommended textbooks for you
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt