Two competing brands, Rain and Shine, produced two different latex paints and planned to sponsor a home makeover by Marie Condo TV (MCTV). While thankful for these two sponsorships, MCTV producers wish to partner with the brand with the most consistent drying times since, based on experience, some paints from another brand dry fast while some dry longer than expected even if the paints came from the same brand. Fourteen specimens from Rain and sixteen specimens from Shine were collected, and their drying times (in hours) are as follows: Rain Shine 3.5 4.7 2.7 3.9 3.9 4.5 4.2 5.5 3.6 4.0 2.1 5.3 3.8 4.3 5.2 6.0 4.2 5.2 2.9 3.7 4.4 5.5 5.2 6.2 4.0 5.7 4.1 5.4 4.8 4.4 Assuming that the drying time is normally distributed, construct a 95% Cl to determine which paint brand produced more consistent drying times.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
icon
Related questions
Question

a. NOTE: CL means :confidence level"

Two competing brands, Rain and Shine, produced two different latex paints and planned to sponsor a home makeover by Marie Condo TV (MCTV). While thankful for these two
sponsorships, MCTV producers wish to partner with the brand with the most consistent drying times since, based on experience, some paints from another brand dry fast while
some dry longer than expected even if the paints came from the same brand. Fourteen specimens from Rain and sixteen specimens from Shine were collected, and their drying
times (in hours) are as follows:
Rain
Shine
3.5
4.7
2.7
3.9
3.9
4.5
4.2
5.5
3.6
4.0
2.1
5.3
3.8
4.3
5.2
6.0
4.2
5.2
2.9
3.7
4.4
5.5
5.2
6.2
4.0
5.7
4.1
5.4
4.8
4.4
Assuming that the drying time is normally distributed, construct a 95% Cl to determine which paint brand produced more consistent drying times.
Transcribed Image Text:Two competing brands, Rain and Shine, produced two different latex paints and planned to sponsor a home makeover by Marie Condo TV (MCTV). While thankful for these two sponsorships, MCTV producers wish to partner with the brand with the most consistent drying times since, based on experience, some paints from another brand dry fast while some dry longer than expected even if the paints came from the same brand. Fourteen specimens from Rain and sixteen specimens from Shine were collected, and their drying times (in hours) are as follows: Rain Shine 3.5 4.7 2.7 3.9 3.9 4.5 4.2 5.5 3.6 4.0 2.1 5.3 3.8 4.3 5.2 6.0 4.2 5.2 2.9 3.7 4.4 5.5 5.2 6.2 4.0 5.7 4.1 5.4 4.8 4.4 Assuming that the drying time is normally distributed, construct a 95% Cl to determine which paint brand produced more consistent drying times.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Similar questions
Recommended textbooks for you
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage