The General Manager of a Frozen TV Dinner Maker Must $\quad$

question 122

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. $\quad$ $\quad$ $\quad$ $\quad$ $\quad$ $\quad$ $\quad$ $\quad$ $\quad$$\text { Taste Ratings }$
$\begin{array}{|c|c|c|c|c|}\hline \text { Respondent } & \text { Dinner 1 } & \text { Dinner 2 } & \text { Dinner 3 } & \text { Dinner 4 } \\\hline 1 & 6 & 6 & 4 & 5 \\\hline 2 & 5 & 5 & 2 & 4 \\\hline 3 & 7 & 7 & 3 & 4 \\\hline 4 & 6 & 6 & 5 & 4 \\\hline 5 & 7 & 6 & 4 & 3 \\\hline 6 & 7 & 5 & 3 & 5 \\\hline 7 & 6 & 4 & 3 & 4 \\\hline 8 & 5 & 6 & 4 & 6 \\\hline 9 & 4 & 4 & 3 & 5 \\\hline 10 & 7 & 5 & 6 & 4 \\\hline\end{array}$
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:

APC

Stands for Average Propensity to Consume, which is the fraction of income that households spend on consumption rather than saving.

APS

Automatic Payment System, a system allowing for automatic transfers of payments, often in financial contexts; the term can refer to multiple concepts depending on the context.

Savings

Money that is set aside from one's income or earnings for future use, often accumulating interest.

Saving

The portion of income that is not spent on immediate consumption but is set aside for future use, often in investments or deposits.