This question depends on the following two-way ANOVA tables which analyzes how a student's grades are related to the amount of coffee and sleep the student has. DfSum SqMean SqF valuePr(>F)SleepTime26840342026.4672.38e-07Coffee410352592.0020.120SleepTime:Coffee89141140.8840.541Residuals303877129 DfSum SqMean SqF valuePr(>F)Sleep Time26480342027.1274.8e-08Coffee410352592.0520.106Residuals384791126 At 5% significance level, do the data support that SleepTime has a main effect on average score? A. Yes B. No C. Impossible to know D. It is unlikelyAt 5% significance level, do the data support that Coffee has a main effect on average score? A. Yes B. No C. Impossible to know D. It is unlikelyAt 5% significance level, do the data support that SleepTime and Coffee interact to have an effect on average score? A. Yes B. No C. Impossible to know D. It is unlikely

Two factorial ANOVA studies about the main and interaction effects.

Answered: This question depends on the following…

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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This question depends on the following two-way ANOVA tables which analyzes how a student's grades are related to the amount of coffee and sleep the student has.

	Df	Sum Sq	Mean Sq	F value	Pr(>F)
SleepTime	2	6840	3420	26.467	2.38e-07
Coffee	4	1035	259	2.002	0.120
SleepTime:Coffee	8	914	114	0.884	0.541
Residuals	30	3877	129

	Df	Sum Sq	Mean Sq	F value	Pr(>F)
Sleep Time	2	6480	3420	27.127	4.8e-08
Coffee	4	1035	259	2.052	0.106
Residuals	38	4791	126

At 5% significance level, do the data support that SleepTime has a main effect on average score?
A. Yes
B. No
C. Impossible to know
D. It is unlikely

At 5% significance level, do the data support that Coffee has a main effect on average score?
A. Yes
B. No
C. Impossible to know
D. It is unlikely

At 5% significance level, do the data support that SleepTime and Coffee interact to have an effect on average score?
A. Yes
B. No
C. Impossible to know
D. It is unlikely

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