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A Coffeehouse Wishes to See If Customers Have Any Preference  Brand 12345 Customers 6518305532\begin{array}{l|ccccc}\text { Brand } & 1 & 2 & 3 & 4 & 5 \\\hline \text { Customers } & 65 & 18 & 30 & 55 & 32\end{array}

question 34

Short Answer

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 rejection region used to test the claim that the probabilities show no preference. Use α = 0.01.  Brand 12345 Customers 6518305532\begin{array}{l|ccccc}\text { Brand } & 1 & 2 & 3 & 4 & 5 \\\hline \text { Customers } & 65 & 18 & 30 & 55 & 32\end{array}

A) χ2>13.277\chi ^ { 2 } > 13.277
B) χ2>9.488\chi ^ { 2 } > 9.488
C) χ2>11.143\chi ^ { 2 } > 11.143
D) χ2>14.860\chi ^ { 2 } > 14.860


Definitions:

Crackles

Sounds heard in the lungs during inhalation that are indicative of fluid in the air spaces, which can be associated with conditions like pneumonia or heart failure.

Left-Sided Heart Failure

Abnormal condition characterized by impaired functioning of the left ventricle caused by elevated pressures and pulmonary congestion.

Breathing

The physiological process of taking in oxygen from the air and expelling carbon dioxide, essential for life in many organisms.

Mitral Valve

A valve in the heart that lies between the left atrium and left ventricle, which ensures one-way flow of blood from the atrium to the ventricle.

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