Assuming population variancesnbspare equal construct an

Question

Answer in step by step form:

Birth Weight (kg)	Gestation Age	Hospital of birth		Birth Weight	Gestation age	Hospital of Birth
(kg)	(weeks)			(kg)	(Weeks)
1.4	30	A		1	29	C
0.9	27	B		1.4	33	C
1.2	33	A		0.9	28	A
1.1	29	C		1	28	C
1.3	35	A		1.9	36	B
0.8	27	B		1.3	29	B
1	32	A		1.7	35	C
0.7	26	A		1	30	A
1.2	30	C		0.9	28	A
0.8	28	A		1	31	A
1.5	32	B		1.6	31	B
1.3	31	A		1.6	33	B
1.4	32	C		1.7	34	B
1.5	33	B		1.6	35	C
1	27	A		1.2	28	A
1.8	35	B		1.5	3	B
1.4	36	C		1.8	34	B
1.2	34	A		1.5	34	C
1.1	28	B		1.2	30	A
1.2	30	B		1.2	32	C

1. Consider the data in listed in the table above.

1.  
   1. Assuming population variances are equal; construct an appropriate 95% confidence interval for the difference in mean Gestation Age between infants born in Hospital B and Hospital C. 
   2. Provide an interpretation of the interval in part a.
   3. Assuming population variances are not equal; construct an appropriate 95% confidence interval for the difference in mean Gestation Age between infants born in Hospital A and Hospital B.
   4. Assuming the population variances are equal, construct an appropriate 90% confidence interval for the difference in mean Birth Weight between infants born in Hospital A and Hospital C.
   5. Provide an interpretation of the interval in part d.