In a test of a new surgical procedure, the five most respected surgeons in FlatBroke Township were invited to Carver Hospital. Each surgeon was assigned two patients of the same age, gender, and overall health. One patient was operated upon in the old way, and the other in the new way. Both procedures are considered equally safe. The surgery times are shown below: $ \quad $$ \quad $$ \quad $$ \quad $$ \quad $$ \quad $$ \quad $$ \quad $$ \quad $$ \quad $$\text { Surgeon }$
$\begin{array} { |c | c | c | c | c | c | }
\hline { \text { Allen } } & { \text { Bob } } & { \text { Chloe } } & \text { Daphne } & { \text { Edgar } } \
\hline \text { Old way } & 36 & 55 & 28 & 40 & 62 \
\hline \text { New way } & 31 & 45 & 28 & 35 & 57 \
\hline
\end{array}$ Which test should we use to test for zero difference in mean times?
A)Paired t-test
B)Independent samples t-test
C)Independent samples z test
D)Cannot be sure without knowing ?.

Question

In a test of a new surgical procedure, the five most respected surgeons in FlatBroke Township were invited to Carver Hospital. Each surgeon was assigned two patients of the same age, gender, and overall health. One patient was operated upon in the old way, and the other in the new way. Both procedures are considered equally safe. The surgery times are shown below: $ \quad $$ \quad $$ \quad $$ \quad $$ \quad $$ \quad $$ \quad $$ \quad $$ \quad $$ \quad $$\text { Surgeon }$
$\begin{array} { |c | c | c | c | c | c | } 
\hline { \text { Allen } } & { \text { Bob } } & { \text { Chloe } } & \text { Daphne } &  { \text { Edgar } } \
\hline  \text { Old way } & 36 & 55 & 28 & 40 & 62 \
\hline \text { New way } & 31 & 45 & 28 & 35 & 57 \
\hline
\end{array}$ Which test should we use to test for zero difference in mean times?
A)Paired t-test
B)Independent samples t-test
C)Independent samples z test
D)Cannot be sure without knowing ?.

Quizplus · Accepted Answer

The data consists of two sets of paired observations where each surgeon operates on two patients using both the old and new surgical procedures. Therefore, a paired t-test is the appropriate test to determine if there is a significant difference in mean surgical times between the old and new procedures. The other options, independent samples t-test and independent samples z test, would not be appropriate as the data is not in two separate groups and the same individuals are being compared under two different conditions. We do not need to know the level of significance (α) to determine the appropriate test.

In a Test of a New Surgical Procedure, the Five \quad

In a Test of a New Surgical Procedure, the Five $\quad$