Chris Columbus is responsible for controlling inventory levels for four types of
Sailboats sold by his company. Chris takes a sample of 48 boats sold over the past
Several months to determine if demand is the same for each type. His results are as
Follows: $$\begin{array} { l l }
\text { Type of Boat } & \text { Sales } \
\text { Pirate's Revenge } & 15 \
\text { Jolly Roger } & 11 \
\text { Sails Delight } & 10 \
\text { Cruiser Cove } & 12
\end{array}$$
The calculated value of the Chi Square statistic is
A) 7.815
B) 1.17
C) 22.35
D) -1.17
E) 12.56

Question

Chris Columbus is responsible for controlling inventory levels for four types of
Sailboats sold by his company. Chris takes a sample of 48 boats sold over the past
Several months to determine if demand is the same for each type. His results are as
Follows: $$\begin{array} { l l } 
\text { Type of Boat } & \text { Sales } \
\text { Pirate's Revenge } & 15 \
\text { Jolly Roger } & 11 \
\text { Sails Delight } & 10 \
\text { Cruiser Cove } & 12
\end{array}$$
The calculated value of the Chi Square statistic is
A) 7.815
B) 1.17
C) 22.35
D) -1.17
E) 12.56

Quizplus · Accepted Answer

The Chi Square statistic is calculated by comparing observed frequencies with expected frequencies. With 48 boats and 4 types, the expected frequency for each type is 12. The Chi Square value is calculated as: $\sum \frac{(O_i - E_i)^2}{E_i}$, where $O_i$ is the observed frequency and $E_i$ is the expected frequency. This calculation results in a Chi Square value of 1.17.

Chris Columbus Is Responsible for Controlling Inventory Levels for Four