Consider a marketing study to evaluate a new type of juice drink. The drink is a mixture of seltzer water and juice, but the researchers wish to determine how much juice to use. They recruit a large number of volunteers, each of whom will try just one drink sample and rate it on a scale of 1 to 100. For each volunteer, the proportion of juice in the drink is randomly selected to be either 5% or 10%. When the proportion of juice was 5%, the researchers added a bright food coloring. The age of the volunteer is recorded, along with the proportion of juice and the subject’s rating of the drink. The results of the study are that the drink with 10% juice got the highest rating, and the preference was even stronger for younger subjects. Which variable is… the explanatory variable? ______ the response variable? ______ a plausible confounding variable? ________ (provide a brief explanation ) If the volunteer did not know what proportion of juice he or she was being given, but the experimenter did know, we can say that the study is_______

MATLAB: An Introduction with Applications
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Consider a marketing study to evaluate a new type of juice drink. The drink is a mixture of seltzer water and juice, but the researchers wish to determine how much juice to use. They recruit a large number of volunteers, each of whom will try just one drink sample and rate it on a scale of 1 to 100. For each volunteer, the proportion of juice in the drink is randomly selected to be either 5% or 10%. When the proportion of juice was 5%, the researchers added a bright food coloring. The age of the volunteer is recorded, along with the proportion of juice and the subject’s rating of the drink. The results of the study are that the drink with 10% juice got the highest rating, and the preference was even stronger for younger subjects.

  • Which variable is…
    • the explanatory variable? ______
    • the response variable? ______
    • a plausible confounding variable? ________ (provide a brief explanation )
  • If the volunteer did not know what proportion of juice he or she was being given, but the experimenter did know, we can say that the study is_______
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