Researchers conducted a study looking at the effects of cooking container type (aluminum, clay, iron) and...

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Statistics

  1. Researchers conducted a study looking at the effects of cookingcontainer type (aluminum, clay, iron) and food type (meat, legumes,vegetables) on the amount of iron present in the food aftercooking. They cooked the same weight of each of the 3 food typesfor a similar amount of time in each of the cooking container typesand replicated each. See columns “type”, “food” and “iron” on theANOVA_2Way_data file. Does iron content vary by food type andcontainer type after the food has been cooked?

  1. What are the null and alternate hypotheses?
  1. Check the assumption of normality of the response with ahistogram

  1. Run the 2-Way ANOVA (including the interaction) and interpretthe Sums of Squares, Mean Squares, F statistics, and P values
  1. Make an appropriate interaction plot
  1. Interpret the results and determine if you accept or reject thenull hypotheses
    typefoodiron
    Aluminummeat1.77
    Aluminummeat2.36
    Aluminummeat1.96
    Aluminummeat2.14
    Claymeat2.27
    Claymeat1.28
    Claymeat2.48
    Claymeat2.68
    Ironmeat5.27
    Ironmeat5.17
    Ironmeat4.06
    Ironmeat4.22
    Aluminumlegumes2.4
    Aluminumlegumes2.17
    Aluminumlegumes2.41
    Aluminumlegumes2.34
    Claylegumes2.41
    Claylegumes2.43
    Claylegumes2.57
    Claylegumes2.48
    Ironlegumes3.69
    Ironlegumes3.43
    Ironlegumes3.84
    Ironlegumes3.72
    Aluminumvegetables1.03
    Aluminumvegetables1.53
    Aluminumvegetables1.07
    Aluminumvegetables1.3
    Clayvegetables1.55
    Clayvegetables0.79
    Clayvegetables1.68
    Clayvegetables1.82
    Ironvegetables2.45
    Ironvegetables2.99
    Ironvegetables2.8
    Ironvegetables2.92

Answer & Explanation Solved by verified expert
3.7 Ratings (635 Votes)
aThe null hypothesesHo1 The population means of Iron conent for food types areequalHo2 The population means of Iron content for container typesare equalHo3 There is no interaction between the two factors food container typesThe alternative hypothesesHa1 The population means of Iron conent for food types areNOT equalHa2 The population means of Iron content for container typesare NOT equalHa3 There is interaction between the two factors food container typesb Assumption of normality of the reponse    See Answer
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