A consumer research organization was interested in the influence of type of water on the effectiveness of...

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A consumer researchorganization was interested in the influence of type of water onthe effectiveness of a detergent. Test batches of washings were runin four randomly chosen machines having a particular type of water- soft, moderate, and hard. All batches had equal numbers ofoil-stained rags and after each washing the number of rags stilledstained 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            5             10
Using an alpha levelof .01, would you conclude that the type of water influences theeffectiveness of the detergent?

Answer & Explanation Solved by verified expert

4.5 Ratings (808 Votes)

For this we will perform One Way ANOVAThe following table is obtainedSOftModerateHard04101852371510Sum 42032Average 158Xij26114274St Dev 08162162449SS 21418n 444The total sample size is N12 Therefore the total degrees offreedom aredftotal 12 1 11Also the betweengroups degrees of freedom are See Answer

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