Question
. A study was conducted that measured the total brain volume (TBV) (in mm 3 ) of patients that had schizophrenia and patients that are
. 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 #3.1 contains the TBV of the normal patients and table #3.1 contains the TBV of schizophrenia patients ("SOCR data oct2009," 2013). 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 #3.1: 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 |
1574808 | 1502702 | 1203344 | 1319737 | 1688990 | 1292641 |
1512571 | 1635918 |
Table #3.2: Total Brain Volume (in mm3) of Schizophrenia Patients
1331777 | 1487886 | 1066075 | 1297327 | 1499983 | 1861991 |
1368378 | 1476891 | 1443775 | 1337827 | 1658258 | 1588132 |
1690182 | 1569413 | 1177002 | 1387893 | 1483763 | 1688950 |
1563593 | 1317885 | 1420249 | 1363859 | 1238979 | 1286638 |
1325525 | 1588573 | 1476254 | 1648209 | 1354054 | 1354649 |
1636119 |
Step 1: State the question
Step 2: Identify the information
- State the random variables and parameters in words
- State the null and alternative hypotheses and level of significance
- Determine the type of test this is, then state and check the assumptions for this type of test
Step 3: Perform calculations
- Find the sample statistics
- Find the test statistic
- Find the p-value
- State the conclusion (compare p and alpha and decide to reject Ho or fail to reject Ho)
Step 4. Interpret (answer the original question in a complete sentence)
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