suppose you want to determine whether the brand of laundry detergent used and th
ID: 3231599 • Letter: S
Question
suppose you want to determine whether the brand of laundry detergent used and the temperature affects the amount of dirt removed from your laundry. To this end, you buy two different brand of detergent ("super" and "best") and choose three different temperature levels ("cold"."warm",and "hot").
a. set up your hypothesis
b. set up an ANOVA table and test for any significant main effect and any interaction effect. use a=.05
c. conclusions
amount of dirt removed cold warm hot Super 3 9 9 4 11 11 5 10 10 4 12 9Explanation / Answer
from above :null hypothesis: all level have same mean amount of dirt removed
alternate hypothesis: at least two of them has diffierent mean amount of dirt removed
from above as p vlaue is lower for brand and temperature which reflect that the effect of brand and temertature is significant while there is no interaction as p value is higher then 0.05 in that case
cold warm hot Total Super Count 4 4 4 12 Sum 16 42 39 97 Average 4 10.5 9.75 8.083333 Variance 0.666667 1.666667 0.916667 10.08333 best Count 4 4 4 12 Sum 18 46 48 112 Average 4.5 11.5 12 9.333333 Variance 1.666667 1.666667 2 14.24242 Total Count 8 8 8 Sum 34 88 87 Average 4.25 11 10.875 Variance 1.071429 1.714286 2.696429 ANOVA Source of Variation SS df MS F P-value F crit Sample 9.375 1 9.375 6.553398 0.019685 4.413873 Columns 238.5833 2 119.2917 83.38835 7.9E-10 3.554557 Interaction 3.25 2 1.625 1.135922 0.343094 3.554557 Within 25.75 18 1.430556 Total 276.9583 23Related Questions
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