In: Statistics and Probability
9.3.3
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 #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.
Table #9.3.5: 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 #9.3.6: 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 |
9.3.4
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 #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.
9.3.8
The number of cell phones per 100 residents in countries in Europe is given in table #9.3.9 for the year 2010. The number of cell phones per 100 residents in countries of the Americas is given in table #9.3.10 also for the year 2010 ("Population reference bureau," 2013). Find the 98% confidence interval for the different in mean number of cell phones per 100 residents in Europe and the Americas.
Table #9.3.9: Number of Cell Phones per 100 Residents in Europe
100 |
76 |
100 |
130 |
75 |
84 |
112 |
84 |
138 |
133 |
118 |
134 |
126 |
188 |
129 |
93 |
64 |
128 |
124 |
122 |
109 |
121 |
127 |
152 |
96 |
63 |
99 |
95 |
151 |
147 |
123 |
95 |
67 |
67 |
118 |
125 |
110 |
115 |
140 |
115 |
141 |
77 |
98 |
102 |
102 |
112 |
118 |
118 |
54 |
23 |
121 |
126 |
47 |
Table #9.3.10: Number of Cell Phones per 100 Residents in the Americas
158 |
117 |
106 |
159 |
53 |
50 |
78 |
66 |
88 |
92 |
42 |
3 |
150 |
72 |
86 |
113 |
50 |
58 |
70 |
109 |
37 |
32 |
85 |
101 |
75 |
69 |
55 |
115 |
95 |
73 |
86 |
157 |
100 |
119 |
81 |
113 |
87 |
105 |
96 |