Instruction 11-10
The CEO of a large Australian health fund is attempting to show the benefits of managed health care to an insurance underwriting company. The CEO believes that certain types of doctors are more cost-effective than others. One theory states that Primary Specialty is an important factor in measuring the cost-effectiveness of physicians. To investigate this, the CEO obtained independent random samples of 20 physicians from each of four primary specialties - General Practice (GP), Internal Medicine (IM), Paediatrics (PED), and Family Physicians (FP) - and recorded the total charges per member per month for each. A second factor which the CEO believes influences total charges per member per month is whether the doctor is a foreign or Australian medical school graduate. The CEO theorises that foreign graduates will have higher mean charges than Australian graduates. To investigate this, the CEO also collected data on 20 foreign medical school graduates in each of the four primary specialty types described above. So information on charges for 40 doctors (20 foreign and 20 Australian medical school graduates) was obtained for each of the four specialties. The results for the ANOVA are summarised in the following table.
$$\begin{array} { | l | l | l | l | l | l | }
\hline \text { Source } &{ d f } & { \text { S5 } } &{ \text { MS } } & { F } & { \text { PR } \mathrm { F } } \
\hline \text { Specialty } & 3 & 22.855 & 7.618 & 60.94 & 0.0001 \
\hline \text { Med school } & 1 & 105 & 105 & 0.84 & 0.6744 \
\hline \text { Interaction } & 3 & 850 & 297 & 2.38 & 0.1348 \
\hline \text { Error } & 152 & 18,950 & & & \
\hline \text { Total } & 159 & 42,800 & & & \
\hline
\end{array}$$
-Referring to Instruction 11-10,is there evidence of a difference between the mean charges of foreign and Australian medical school graduates?
A) No, the test for the main effect for medical school is not significant at ? = 0.10.
B) No, the test for the interaction is not significant at ? = 0.10.
C) Yes, the test for the main effect for primary specialty is significant at ? = 0.10.
D) Maybe, but we need information on the ?-estimates to fully answer the question.

Question

Instruction 11-10
The CEO of a large Australian health fund is attempting to show the benefits of managed health care to an insurance underwriting company. The CEO believes that certain types of doctors are more cost-effective than others. One theory states that Primary Specialty is an important factor in measuring the cost-effectiveness of physicians. To investigate this, the CEO obtained independent random samples of 20 physicians from each of four primary specialties - General Practice (GP), Internal Medicine (IM), Paediatrics (PED), and Family Physicians (FP) - and recorded the total charges per member per month for each. A second factor which the CEO believes influences total charges per member per month is whether the doctor is a foreign or Australian medical school graduate. The CEO theorises that foreign graduates will have higher mean charges than Australian graduates. To investigate this, the CEO also collected data on 20 foreign medical school graduates in each of the four primary specialty types described above. So information on charges for 40 doctors (20 foreign and 20 Australian medical school graduates) was obtained for each of the four specialties. The results for the ANOVA are summarised in the following table.
 $$\begin{array} { | l | l | l | l | l | l | } 
\hline \text { Source } &{ d f } & { \text { S5 } } &{ \text { MS } } & { F } & { \text { PR } > \mathrm { F } } \
\hline \text { Specialty } & 3 & 22.855 & 7.618 & 60.94 & 0.0001 \
\hline \text { Med school } & 1 & 105 & 105 & 0.84 & 0.6744 \
\hline \text { Interaction } & 3 & 850 & 297 & 2.38 & 0.1348 \
\hline \text { Error } & 152 & 18,950 & & & \
\hline \text { Total } & 159 & 42,800 & & & \
\hline
\end{array}$$
-Referring to Instruction 11-10,is there evidence of a difference between the mean charges of foreign and Australian medical school graduates?
A) No, the test for the main effect for medical school is not significant at ? = 0.10.
B) No, the test for the interaction is not significant at ? = 0.10.
C) Yes, the test for the main effect for primary specialty is significant at ? = 0.10.
D) Maybe, but we need information on the ?-estimates to fully answer the question.

Quizplus · Accepted Answer

The ANOVA table shows that the p-value for the main effect of medical school is 0.324, which is larger than the chosen significance level of 0.10. Therefore, we do not have evidence of a difference between the mean charges of foreign and Australian medical school graduates. The test for the main effect of primary specialty, on the other hand, is significant at α = 0.10 with a p-value of 0.026. The significance of the interaction term is not provided in the table, but it is not relevant for this question. We do not need information on the β-estimates to fully answer the question.

Instruction 11-10 the CEO of a Large Australian Health Fund

Instruction 11-10
the CEO of a Large Australian Health Fund