A consumer research organization was interested in the influence of type of wate

Question

A consumer research organization was interested in the influence of type of water on the effectiveness of a detergent. Test batches of washings were run in four randomly chosen machines having a particular type of water - soft, moderate, and hard. All batches had equal numbers of oil-stained rags and after each washing the number of rags stilled stained was determined. The following results were obtained. Number of Rags with Stains Sample Observations Soft Moderate Hard 1 0 4 10 2 1 8 5 3 2 3 7 4 1 9 6 Using an alpha level of .01, would you conclude that the type of water influences the effectiveness of the detergent?

Explanation / Answer

applying ANOVA on above data value:

as p value is less then 0.01 level; hence we can   conclude that the type of water influences the effectiveness of the detergent

SUMMARY Groups Count Sum Average Variance soft 4 4 1 0.6667 moderate 4 24 6 8.6667 hard 4 28 7 4.6667 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 82.6667 2 41.3333 8.8571 0.0075 4.2565 Within Groups 42 9 4.6667 Total 124.6667 11

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