A researcher wants to understand the effects of different flooring materials on the perceived distraction caused by echoing sounds of conversation, measured on a scale from 1 (minimal sound) to 7 (very distracting). He samples 100 participants and randomly assigns them to four unique, equally-sized groups: 1) a wood floor, 2) a concrete floor, 3) a carpeted floor, and 4) a floor with a plush rug. Each participant is asked to complete a moderately difficult arithmetic task while recorded conversation is played in the room. The data from this experiment are presented below. Complete the ANOVA Summary Table and make a decision regarding the null hypothesis, using an a = 0.01. Wood Concrete Carpet Plush Rug Total n 25 25 25 25 100 M 5.88 6.04 4.25 5.21 5.34 S 0.80 0.81 0.79 0.83 1.06 ΣΧ 141 145 102 125 513 Σχε 843 891 448 667 2849 ANOVA Summary Table (Note: Report all calculated values to two decimal positions) Source SS Between- Groups Error Total Critical Value for F: df Decision Regarding Ho (Retain or Reject): MS F n²
A researcher wants to understand the effects of different flooring materials on the perceived distraction caused by echoing sounds of conversation, measured on a scale from 1 (minimal sound) to 7 (very distracting). He samples 100 participants and randomly assigns them to four unique, equally-sized groups: 1) a wood floor, 2) a concrete floor, 3) a carpeted floor, and 4) a floor with a plush rug. Each participant is asked to complete a moderately difficult arithmetic task while recorded conversation is played in the room. The data from this experiment are presented below. Complete the ANOVA Summary Table and make a decision regarding the null hypothesis, using an a = 0.01. Wood Concrete Carpet Plush Rug Total n 25 25 25 25 100 M 5.88 6.04 4.25 5.21 5.34 S 0.80 0.81 0.79 0.83 1.06 ΣΧ 141 145 102 125 513 Σχε 843 891 448 667 2849 ANOVA Summary Table (Note: Report all calculated values to two decimal positions) Source SS Between- Groups Error Total Critical Value for F: df Decision Regarding Ho (Retain or Reject): MS F n²
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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
Transcribed Image Text:A researcher wants to understand the effects of different flooring materials on the perceived distraction caused by echoing sounds of conversation,
measured on a scale from 1 (minimal sound) to 7 (very distracting). He samples 100 participants and randomly assigns them to four unique, equally-sized
groups: 1) a wood floor, 2) a concrete floor, 3) a carpeted floor, and 4) a floor with a plush rug. Each participant is asked to complete a moderately difficult
arithmetic task while recorded conversation is played in the room. The data from this experiment are presented below. Complete the ANOVA Summary
Table and make a decision regarding the null hypothesis, using an a = 0.01.
Wood
Concrete Carpet Plush Rug Total
n
25
25
25
25
100
M
5.88
6.04
4.25
5.21
5.34
S
0.80
0.81
0.79
0.83
1.06
ΣΧ
141
145
102
125
513
Σχε 843
891
448
667
2849
ANOVA Summary Table (Note: Report all calculated values to two decimal positions)
Source SS
Between-
Groups
Error
Total
Critical Value for F:
df
Decision Regarding Ho (Retain or Reject):
MS
F
n²
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