A Coffeehouse Wishes to See If Customers Have Any Preference $$\chi _ { 0 } ^ { 2 }$$

question 72

Multiple Choice

A coffeehouse wishes to see if customers have any preference among 5 different brands of coffee. A sample of 200 customers provided the data below. Find the critical value χ $$\chi _ { 0 } ^ { 2 }$$ to test the claim that the distribution is
Uniform. $$\text { Use } \alpha = 0.01 \text {. }$$ $$\begin{array} { l | c l l l l } \text { Brand } & 1 & 2 & 3 & 4 & 5 \\\hline \text { Customers } & 30 & 32 & 55 & 65 & 18\end{array}$$

• A)13.277
• B)9.488
• C)11.143
• D)14.860

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Definitions:

Standard Deviation

A measure of the dispersion or variability in a dataset, indicating how spread out the data points are from the mean.

Percent Of People

Refers to a statistic that represents a part of a whole as a percentage, commonly used in research and surveys to present data.

Indicative Score

A score that suggests or gives an indication of a student's performance level or capability in a specific area.

Cumulative Distribution

A function that shows the probability that a random variable takes a value less than or equal to a specific value.