In a Completely Randomized Experimental Design, 3 brands of paper towels were tested for their ability to absorb water. Equal-sized towels were used, with three sections of towels tested per brand. Excel was used to perform the ANOVA analysis of the data using alpha = 0.05. The Excel-generated output is given below:SUMMARY GroupsCountSumAverageVariance Brand X328093.3333333334.33333333 Brand Y328996.333333336.333333333 Brand Z324882.6666666742.33333333 ANOVA Source of VariationSSdfMSFP-valueF critBetween Groups309.55555562154.77777785.594377510.0425324585.14325285Within Groups166627.66666667 Total475.55555568 The null hypothesis states that there is no significant difference between the population mean absorbency ratings for these three different brands of paper towel. After looking at the Excel-generated ANOVA output above, do you believe the null? EXPLAIN YOUR ANSWER, and identify the specific part of the Excel-generated ANOVA output that supports your decision. BE SPECIFIC!!

Answered: In a Completely Randomized Experimental…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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In a Completely Randomized Experimental Design, 3 brands of paper towels were tested for their ability to absorb water. Equal-sized towels were used, with three sections of towels tested per brand. Excel was used to perform the ANOVA analysis of the data using alpha = 0.05. The Excel-generated output is given below:

SUMMARY
Groups	Count	Sum	Average	Variance
Brand X	3	280	93.33333333	34.33333333
Brand Y	3	289	96.33333333	6.333333333
Brand Z	3	248	82.66666667	42.33333333


ANOVA
Source of Variation	SS	df	MS	F	P-value	F crit
Between Groups	309.5555556	2	154.7777778	5.59437751	0.042532458	5.14325285
Within Groups	166	6	27.66666667

Total	475.5555556	8

The null hypothesis states that there is no significant difference between the population mean absorbency ratings for these three different brands of paper towel. After looking at the Excel-generated ANOVA output above, do you believe the null? EXPLAIN YOUR ANSWER, and identify the specific part of the Excel-generated ANOVA output that supports your decision. BE SPECIFIC!!

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