The manager of a pharmacy wants to know if prescriptions are filled uniformly over the 7 days of the week. The manager takes a simple random sample of 245 prescription receipts and finds that they are distributed as follows:
$$\begin{array} { | l | c | c | c | c | c | c | c | }
\hline \text { Day } & \text { Monday } & \text { Tuesday } & \text { Wednesday } & \text { Thursday } & \text { Friday } & \text { Saturday } & \text { Sunday } \
\hline \text { Prescriptions } & 42 & 31 & 33 & 29 & 45 & 44 & 21 \
\hline
\end{array}$$ Using a significance level of 0.05, what is the appropriate conclusion for this test?

Question

The manager of a pharmacy wants to know if prescriptions are filled uniformly over the 7 days of the week. The manager takes a simple random sample of 245 prescription receipts and finds that they are distributed as follows:
$$\begin{array} { | l | c | c | c | c | c | c | c | } 
\hline \text { Day } & \text { Monday } & \text { Tuesday } & \text { Wednesday } & \text { Thursday } & \text { Friday } & \text { Saturday } & \text { Sunday } \
\hline \text { Prescriptions } & 42 & 31 & 33 & 29 & 45 & 44 & 21 \
\hline
\end{array}$$ Using a significance level of 0.05, what is the appropriate conclusion for this test?

Quizplus · Accepted Answer

The distribution of prescriptions across the days of the week shows significant variation, indicating that prescriptions are not filled uniformly. This conclusion is supported by the differences in the number of prescriptions filled on each day, which are unlikely to occur if prescriptions were filled uniformly across all days.

The Manager of a Pharmacy Wants to Know If Prescriptions