The General Manager of a Frozen TV Dinner Maker Must

question 134

Essay

The general manager of a frozen TV dinner maker must decide which one of four new dinners to introduce to the market. He decides to perform an experiment to help make a decision. Each dinner is sampled by ten people who then rate the product on a 7-point scale, where 1 = poor, and 7 = excellent. The results are shown below. $\begin{array} { | c | c | c | c | c | } \hline & & { \text { Taste Ratings } } \\\hline \text { Respondent } & \text { Dinner 1 } & \text { Dinner 2 } & \text { Dinner 3 } & \text { Dinner 4 } \\\hline 1 & 6 & 6 & 4 & 5 \\\hline 2 & 5 & 5 & 2 & 4 \\\hline 3 & 7 & 7 & 3 & 4 \\\hline 4 & 6 & 6 & 5 & 4 \\\hline 5 & 7 & 6 & 4 & 3 \\\hline 6 & 7 & 5 & 3 & 5 \\\hline 7 & 6 & 4 & 3 & 4 \\\hline 8 & 5 & 6 & 4 & 6 \\\hline 9 & 4 & 4 & 3 & 5 \\\hline 10 & 7 & 5 & 6 & 4 \\\hline\end{array}$ Can the general manager infer at the 5% significance level that there are differences in the taste ratings of the four dinners?

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Definitions:

Terrestrial Ecosystems

Ecosystems found on land, characterized by the distinct types of vegetation and organisms adapted to the particular climate and soil conditions.

Technology

The application of scientific knowledge for practical purposes, especially in industry and in our daily lives through devices, processes, and systems.

Cross-Pollinated Seeds

Seeds that result from the transfer of pollen from the flower of one plant to the flower of another plant of the same species.

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A well-substantiated explanation of some aspect of the natural world that is acquired through the scientific method and repeatedly tested and confirmed through observation and experimentation.