A study was conducted that measured the total brain volume (TBV) (in ) 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). 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. (Show work) Table #9.3.5: Total Brain Volume (in ) 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 #9.3.6: Total Brain Volume (in ) 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
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
A study was conducted that measured the total brain volume (TBV) (in ) 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). 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. (Show work)
Table #9.3.5: Total Brain Volume (in ) 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 #9.3.6: Total Brain Volume (in ) 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 |
|
|
|
|
|
Normal patients are taken as group 1.
Schizophrenia Patients are taken as a group 2.
Given:
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
