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

Question

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

Quizplus · Accepted Answer

The critical value $\chi^2$ for a test of uniform distribution with 5 categories (brands) at a significance level of $\alpha = 0.01$ and degrees of freedom $df = 5 - 1 = 4$ is 13.277.

A Coffeehouse Wishes to See If Customers Have Any Preference χ02\chi _ { 0 } ^ { 2 }χ02​

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