Paper Towel Absorption. In a completely randomized experimental design, three brands of paper towels were tested for their ability to absorb water. Equal-size towels were used, with four sections of towels tested per brand. The absorbency rating data follow. At a .05 level of significance, does there appear to be a difference in the ability of the brands to absorb water?
Check whether there is a significant difference among the mean absorbency ratings for the three brands at
Answer to Problem 34E
Yes, there appears to be a difference in the ability of the brands to absorb water.
Explanation of Solution
Calculation:
The data represents the absorbency rate for the three brands.
Assume that,
The test hypotheses are given below:
Null hypothesis:
Alternative hypothesis:
It is given that the level of significance as 0.05.
One-way Anova:
Software procedure:
Step-by-step procedure to obtain One-way Anova using the EXCEL:
- Enter the data in an EXCEL sheet.
- On Data tab in Analysis group, click Data Analysis.
- Select Anova: Single Factor.
- Click Ok.
- Click in the Input Range box, select the range $A$1: $C$5.
- Click in the Output range, select $G$1
- Click OK.
Output using the EXCEL software is given below:
From the EXCEL output, the F-ratio is 7.23 and the p-value is 0.0134.
Decision:
If
If
Conclusion:
Here, the p-value is less than the level of significance.
That is,
Therefore, the null hypothesis is rejected.
Hence, there is sufficient evidence to infer that there is a significant difference among the mean absorbency ratings for the three brands at
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Chapter 13 Solutions
Essentials Of Statistics For Business & Economics
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