A Market Research Firm Is Interested in the Possible Success $\quad$

question 71

Essay

A market research firm is interested in the possible success of new flavors of ice cream. A study was conducted with three different flavorsꟷpeach, almond, and coconut. Three participants were given a sample of each ice cream, in random order, and asked to rate the flavors on a 100-point scale. The results are given in the table below. $\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\text { FLAVOR }$
$\begin{array}{l}\begin{array} { c | c c c } \text { PARTICIPANT } & \text { Peach } & \text { Almond } & \text { Coconut } \\\hline 1 & 77 & 85 & 75 \\2 & 82 & 100 & 80 \\3 & 85 & 91 & 76\end{array}\end{array}$ a. What is the purpose of blocking on participants in this study? b. Construct an ANOVA summary table using the information given. c. Is there sufficient evidence of a difference in the mean ratings for the three flavors? Use α = 0.05.

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Definitions:

Arthropods

A phylum of invertebrate animals having an exoskeleton, a segmented body, and jointed appendages, including insects, arachnids, myriapods, and crustaceans.

Annelids

A phylum of invertebrate worms known for their segmented bodies, such as earthworms and leeches.

Specialized

Adapted or suited for a specific purpose or function.

Nauplius Larva

A nauplius larva is the first larval stage of many crustaceans, characterized by its simple structure and three pairs of appendages.