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Brain Volume in mm3 A study was conducted that measured the total brain volume (TBV) (in ) of Normal Schizophrenia patients that had schizophrenia and patients that are considered normal. Table 1663407 1331777 #9.3.5 contains the TBV of the normal patients and table #9.3.6 1453510 1368378 contains the TBV of schizophrenia patients ("SOCR data oct2009," 2013). Is there enough evidence 1474790 1690182 to show that the patients with schizophrenia have less TBV on average than a patient that is considered normal? Test at the 10% level. 1441636 1563593 1574808 1325525 Step 1 Identify variable and parameter with variable and words 1512571 1636119 X1 = 1583940 1487886 X 2= 165348 1476891 M1 = 1317156 1569413 H2 = 1432033 1317885 1502702 1588573 Step 2 Identify Null Hypothesis, Alternative Hypothesis, (words and 1635918 1066075 algebraically) and Level of Significance 1299470 14433775 1288971 1177002 HO : 14411045 1420249 Ha 1420416 1476254 a= 1203344 1297327 1535137 1337827 Step 3 Check for normality 1366346 1387893 1463498 1363859 1480171 1648209 1319737 1499983 Can you be confident about your decision? 131890 1658258 1326402 1483763 Step 4 Find sample statistic, test statistic and pvalue, Draw a picture 1650207 1238979 X1 - X2 = T = 1360810 1354054 1688990 1861991 SE = PV = 1578698 1588132 1503005 1688950 1523045 1286638 1410213 1354649 1292641 -3 -2 -1 0 1 2 3 Step 5 Make a conclusion about null hypothesis