Question

Question B: The following data report length of stay (LOS) for 10 patients of Dr. Jones and 10 patients of Dr. Smith. What is the expected outcome (average outcome) for Dr. Smith? What is the expected outcomes if Dr. Jones if he was seeing Dr. Smith's patients? To answer this question, replace each outcome of Dr. Jones with average outcome of same type of patient seen by Dr. Smith. Is Dr. Smith more efficient than Dr. Jones?

Dr. Smith Patients	Previous MI	CHF	Shock	LOS
1	1	1	0	4
2	1	1	0	5
3	1	0	0	4
4	1	0	1	5
5	1	0	1	4
6	1	0	1	4
7	1	0	1	5
8	0	0	0	2
9	0	0	0	2
10	0	0	0	1

Dr. Jones Patients	previous MI	CHF	Shock	LOS
1	1	1	0	5
2	1	1	0	5
3	1	1	0	5
4	1	1	1	5
5	1	0	1	5
6	1	0	1	5
7	1	0	1	5
8	1	0	0	4
9	0	0	0	2
10	0	0	0	2

Answer 1

Explanation:-

Given sample size 'n' =10

Mean Or average of Dr smith patients

Mean Or average of Doctor Jones

Drsmithpatients x	Doctor jones y
4	5	0.4	0.5	0.16	0.25
5	5	1.4	0.5	1.96	0.25
4	5	0.4	0.5	0.16	0.25
5	5	1.4	0.5	1.96	0.25
4	5	0.4	0.5	0.16	0.25
4	5	0.4	0.5	0.16	0.25
5	5	1.4	0.5	1.96	0.25
2	4	-1.6	-0.5	2.56	0.25
2	2	-1.6	-2.5	2.56	6.25
1	2	-2.6	-2.5	6.76	6.25

Null Hypothesis:H0: There is no significant difference between Dr smith patients and Dr jones patients

Alternative Hypothesis: H1:Dr smith is more efficient than Dr jones

we will use the t - Test statistic

where

Level of significance  

Degrees of freedom

The Calculated value   at 5% level of significance

Null hypothesis is accepted

Conclusion:-

Dr smith patients is not more than efficient of Dr jones