Question

Please show your work

9.3.4

A study was conducted that measured the total brain volume (TBV) (in mm^3) of patients that had schizophrenia and patients that are considered normal. Table #9.3.5 contains the TBV of the normal patients and table #9.3.6 contains the TBV of schizophrenia patients ("SOCR data oct2009," 2013). Compute a 90% confidence interval for the difference in TBV of normal patients and patients with Schizophrenia.

Answer 1

The 90% confidence interval for the difference in TBV of normal patients and patients with Schizophrenia is between -51,142.110 and 75,234.161.

Normal Patients	Schizophrenia Patients
14,63,339.22	14,51,293.19	mean
1,25,458.28	1,71,932.23	std. dev.
32	31	n
	61	df
	12,046.025	difference (Normal Patients - Schizophrenia Patients)
	22,53,69,48,583.710	pooled variance
	1,50,123.111	pooled std. dev.
	37,832.235	standard error of difference
	-51,142.110	confidence interval 90.% lower
	75,234.161	confidence interval 90.% upper
	63,188.136	margin of error

The data is:

Normal Patients	Schizophrenia Patients
1663407	1331777
1453510	1368378
1474790	1690182
1441636	1563593
1574808	1325525
1512571	1636119
1583940	1487886
1650348	1476891
1317156	1569413
1432033	1317885
1502702	1588573
1635918	1066075
1299470	1443775
1288971	1177002
1441045	1420249
1420416	1476254
1203344	1297327
1535137	1337827
1366346	1387893
1463498	1363859
1480171	1648209
1319737	1499983
1431890	1658258
1326402	1483763
1650207	1238979
1360810	1354054
1688990	1861991
1578698	1588132
1503005	1688950
1523045	1286638
1410213	1354649
1292641