A Soft Drink Company Is Conducting Research to Select a New

question 66

Essay

A soft drink company is conducting research to select a new design for the can. A random
sample of participants has been selected. Instead of a typical taste test with two different
sodas, they actually give each participant the same soda twice. One drink is served in a
predominantly red can, the other in a predominantly blue can. The order is chosen
randomly. Participants are asked to rate each drink on a scale of 1 to 10. Thus, the company
wishes to test if the color of the can influences the rating. The ratings were recorded for
each participant. The data are shown in the table below. Does this sample indicate that
there is a difference in the ratings? Test an appropriate hypothesis and state your
conclusion. $$\begin{array} { | c | c | c | } \hline \text { Rater } & \text { Red } & \text { Blue } \\\hline 1 & 4 & 6 \\\hline 2 & 7 & 5 \\\hline 3 & 3 & 6 \\\hline 4 & 8 & 9 \\\hline 5 & 5 & 2 \\\hline 6 & 9 & 9 \\\hline 7 & 7 & 10 \\\hline 8 & 5 & 4 \\\hline 9 & 6 & 8 \\\hline 10 & 9 & 7 \\\hline 11 & 8 & 8 \\\hline 12 & 3 & 7 \\\hline 13 & 6 & 5 \\\hline 14 & 8 & 8 \\\hline 15 & 9 & 10 \\\hline 16 & 7 & 6 \\\hline\end{array}$$

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Definitions:

Gender Identity

A person's internal sense of their own gender, whether male, female, both, neither, or anywhere along the gender spectrum.

Personalities

The combination of characteristics or qualities that form an individual's distinctive character or temperament.

Good and Bad Qualities

Characteristics or attributes of a person, object, or action that are deemed positive or negative based on moral, social, or personal standards.

Positively

In a manner that is optimistic, constructive, or beneficial, often associated with affirmative actions and outcomes.