Q7A 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 #1 contains the TBV of the normal patients and Table #2 contains the TBV of schizophrenia patients ("SOCR data Oct2009," 2013). Table #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 #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 Let μ1 = mean TBV of patients that are considered normal. Let μ2 = mean TBV of patients that had schizophrenia. Compute a 90% confidence interval for the difference in TBV of normal patients and patients with Schizophrenia. (i) For the sample from population with mean = μ1 : Determine sample mean x⎯⎯1 and sample standard deviation s1i For the sample from population with mean = μ1 : Determine sample mean x¯1 and sample standard deviation s1 Enter sample mean to nearest integer, then comma, then sample standard deviation to nearest integer. Examples of correctly entered answers: 1332,112 -15478,3651 (ii) For the sample from the population with mean = μ2 : Determine sample mean x⎯⎯2 and sample standard deviation s2ii For the sample from the population with mean = μ2 : Determine sample mean x¯2 and sample standard deviation s2 Enter sample mean to nearest integer, then comma, then sample standard deviation to nearest integer. Examples of correctly entered answers: 1332,112 -15478,3651 (iii) Enter the level of significance α used for this interval estimate: Enter in decimal form. Examples of correctly entered answers: 0.01 0.02 0.05 0.10

Q7A 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 #1 contains the TBV of the normal patients and Table #2 contains the TBV of schizophrenia patients ("SOCR data Oct2009," 2013). Table #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 #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 Let μ1 = mean TBV of patients that are considered normal. Let μ2 = mean TBV of patients that had schizophrenia. Compute a 90% confidence interval for the difference in TBV of normal patients and patients with Schizophrenia. (i) For the sample from population with mean = μ1 : Determine sample mean x⎯⎯1 and sample standard deviation s1i For the sample from population with mean = μ1 : Determine sample mean x¯1 and sample standard deviation s1 Enter sample mean to nearest integer, then comma, then sample standard deviation to nearest integer. Examples of correctly entered answers: 1332,112 -15478,3651 (ii) For the sample from the population with mean = μ2 : Determine sample mean x⎯⎯2 and sample standard deviation s2ii For the sample from the population with mean = μ2 : Determine sample mean x¯2 and sample standard deviation s2 Enter sample mean to nearest integer, then comma, then sample standard deviation to nearest integer. Examples of correctly entered answers: 1332,112 -15478,3651 (iii) Enter the level of significance α used for this interval estimate: Enter in decimal form. Examples of correctly entered answers: 0.01 0.02 0.05 0.10

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.6: Applications And The Perron-frobenius Theorem

Problem 25EQ

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Q7A

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 #1 contains the TBV of the normal patients and Table #2 contains the TBV of schizophrenia patients ("SOCR data Oct2009," 2013).

Table #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 #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

Let μ₁ = mean TBV of patients that are considered normal. Let μ₂ = mean TBV of patients that had schizophrenia. Compute a 90% confidence interval for the difference in TBV of normal patients and patients with Schizophrenia.

(i) For the sample from population with mean = μ1 : Determine sample mean x⎯⎯1 and sample standard deviation s1i For the sample from population with mean = μ1 : Determine sample mean x¯1 and sample standard deviation s1

Enter sample mean to nearest integer, then comma, then sample standard deviation to nearest integer. Examples of correctly entered answers:

1332,112

-15478,3651

(ii) For the sample from the population with mean = μ2 : Determine sample mean x⎯⎯2 and sample standard deviation s2ii For the sample from the population with mean = μ2 : Determine sample mean x¯2 and sample standard deviation s2

Enter sample mean to nearest integer, then comma, then sample standard deviation to nearest integer. Examples of correctly entered answers:

1332,112

-15478,3651

(iii) Enter the level of significance α used for this interval estimate:

Enter in decimal form. Examples of correctly entered answers: 0.01 0.02 0.05 0.10

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