A study was conducted that measured the total brain volume (TBV) (in mm3) of patients that had schizophrenia and patients that are considered normal. Table A contains the TBV of the normal patients and table B contains the TBV of schizophrenia patients. Is there enough evidence to show that the patients with schizophrenia have less TBV on average than a patient that is considered normal? Test at the 10% level.
Table A: Total Brain Volume (in mm3) of Normal Patients
1663407 |
1583940 |
1299470 |
1535137 |
1431890 |
1578698 |
1453510 |
1650348 |
1288971 |
1366346 |
1326402 |
1503005 |
1474790 |
1317156 |
1441045 |
1463498 |
1650207 |
1523045 |
1441636 |
1432033 |
1420416 |
1480171 |
1360810 |
1410213 |
Table B: Total Brain Volume (in ) of Schizophrenia Patients
1331777 |
1487886 |
1266075 |
1297327 |
1499983 |
1861991 |
1368378 |
1676891 |
1443775 |
1337827 |
1658258 |
1588132 |
1690182 |
1569413 |
1477002 |
1387893 |
1483763 |
1688950 |
1563593 |
1317885 |
1420249 |
1363859 |
1238979 |
1286638 |
P-value = 0.4138
Since p-value is less than 0.1, we fail to reject the null hypothesis. Therefore, we conclude that there is insufficient evidence to show that the patients with schizophrenia have less TBV on average than a patient that is considered normal.
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