A study was conducted that measured the total brain volume (TBV) (in mmg) of a random sample of patients that are considered normal and another random sample of patients with schizophrenia. The table below contains the TBV of the normal patients and the TBV of schizophrenia patients. Is there enough evidence to show that the patients considered normal have more TBV on average than patients with schizophrenia? a) Test at the 5% level. b) Compute a 90% confidence interval for the difference. Brain Volume of Normal Patients (mm3) 1319737 1688990 1583940 1299470 1663407 1317156 1523045 1574808 1441045 1635918 1203344 1503005 1360810 1410213 1299471 1535140 1420416 1288971 1326402 1441636 1663408 1453510 1512571 1578699 1366346 1535137 1583941 1292641 1431891 1431890 1463498 1432033 1474790 1578698 1535138 1650348 Brain Volume of Schizophrenic Patients ( 3 30:! 1861990 1648209 1658258 1368378 1487885 1487886 1331777 1331776 1387893 1238979 1354649 1066074 1066075 1861991 1861992 1499983 1297327 1499984 1636119 1177002 1325525 1297328 1297326 1476254 1690182 1317885 1476891 1443775 1483763 1569413 1354054 1588132 1563593 1688950 1286638 1588573 Part A.) HYPOTHESIS TEST P: Parameter What is the correct parameter symbol and wording for population 1? Select an answer v = Se Select an answer ' N1 parameter symbol and wording for population 2? [El I = Select an answer Part A.) HYPOTHESIS TEST P: Parameter What is the correct parameter symbol and wording for population 1? Select an answer v = Select an answer v Select an answer the mean total brain volume of 36 randomly selected patients that are considered normal a randomly selected patient that is considered normal _ the mean total brain volume of all patients that are considered normal 36 randomly selected patients that are considered normal the total brain volume of a randomly selected patient that is considered normal IJ. IJ. ...ll_......- What is the correct parameter symbol and wording for population 2? Select an answer v = Select an answer v Select an answer a I p2 n; I52 answer v [:] mm"3 pd X; m Inswer v | C] mm"3 What is the correct parameter symbol and wording for population 2? Select an answer Select an answer Select an answer the total brain volume of a randomly selected patient that has schizophrenia Hypotheses the mean total brain volume of all patients that have schizophrenia 36 randomly selected patients that have schizophrenia Ho : Select an ans the mean total brain volume of 36 randomly selected patients that have schizophrenia a randomly selected patient that has schizophreniaH: Hypotheses Ho : Select an answer ? v mm^3 Select an answer P1 - p2 HA : a ? v mm^3 N1 - N2 P1 - P2 A: Assumptix1 - X2 M1 - H2 Since Sen1 - n2 formation was collecteH: Hypotheses Ho : Select an answer V ? V mm^3 ? HA : Select an answer V mm ^ 3 IVIAHAN A: AssumptionsH: Hypotheses Ho : Select an answer v ? v mm^ 3 HA : Select an answer V ? v mm^ 3 Select an answer M1 - U2 X1 - Xz A: Assumptid n1 - n2 Since Sep1 - p2 formation was collecte conditions: d N1 - N2 Check al p1 - p2H: Hypotheses Ho : Select an answer v v mm ^3 HA : Select an answer v ? V mm^3 ? I HIVVA A: Assumptions Since Select an answer V ition was collect conditions: SA: Assumptions Since information was collected from each object, we need to check the following comm qualitative Check quantitative Owl > 10 and $2 2 10 071173312 10andn27$22 10 Cl 711 2 20711 and n2 2 20n2 CJ The samples are independent D The samples are dependent [3 Normal population of differences or at least 30 pairs of data Cl Normal populations or 711 2 30 and n2 2 30 [3 no outliers in the differences [3 no outliers for each group D a is unknown for each group D a is known for each group Check those assumptions: 1. There Select an answer v two measurements taken on the same object, so these samples are Select an an Select an answer were not 2. Is the were ? VCheck those assumptions: 1. There Select an answer v two measurements taken on the same object, so these samples are Select an answer v dependent r 01 known? independent (1 2. Is the value of oj known? ? Is the value of o, known? Yes No Are theIs the value of o2 known? Are there any outliers in d No Yes Are there any outliers in dara set3. Are there any outliers in data set 1? Select an answer Select an answer Are there any outliers in data set 2? No, the modified boxplot of the differences shows no outliers No, the modified boxplot of this data set shows no outliers 4. n1 = which is ? v Yes, the modified boxplot of the differences shows outliers Yes, the modified boxplot of this data set shows outliers Yes, the normal probability plot of this data set shows outliers Is it reasonable to assume that popu No, the normal probability plot of this data set shows no outliers lect an answer Yes, the histogram of this data set shows outliers No, the histogram of this data set shows no outliersAre there any outliers in data set 2? Select an answer V Select an answer n1 = which is ? v No, the modified boxplot of the differences shows no outliers No, the modified boxplot of this data set shows no outliers Yes, the modified boxplot of the differences shows outliers Is it reasonable to assume that popu Yes, the modified boxplot of this data set shows outliers ct an answer Yes, the normal probability plot of this data set shows outliers No, the normal probability plot of this data set shows no outliers n2 = which is ? v Yes, the histogram of this data set shows outliers No, the histogram of this data set shows no outliers4. n1 which is ? ? Is it reasonable to assum at populat elect an answer 2Is it reasonable to assume that u-oulation 1 is normall distributed? Select an answer Not necessary to check since the sample size is at least 30. Not necessary to check since the sample size is less than 30. Yes since the normal probability plot of the differences is roughly linear with no outliers. Yes since the normal probability plot of the differences is roughly bell-shaped with no outliers. No, since the normal probability plot of the differences is not roughly linear. No, since the normal probability plot of the differences is not roughly bell-shaped. Yes, since the normal probability plot of data is roughly linear with no outliers. - No, since the normal probability plot of the list of data is not roughly linear with no outliers. \fIs it reasonable to assume that population 2 is normally distributed? Select an answer v Select an answer Not necessary to check since the sample size is at least 30. 7 Not necessary to check since the sample size is less than 30. a Yes since the normal probability plot of the differences is roughly linear with no outliers. \" Yes since the normal probability plot of the differences is roughly bell-shaped with no outliers. No, since the normal probability plot of the differences is not roughly linear. t No, since the normal probability plot of the differences is not roughly bell-shaped. a Yes, since the normal probability plot of data is roughly linear with no outliers. \" No, since the normal probability plot of the list of data is not roughly linear with no outliers. N: Name the test The conditions are met to use a Select an answer V Select an answer T: Test Statistic 2-Sample T-Test 2-Proportion Z-Test The symbol and value of the ran 1-Proportion Z-Test DI Paired T-Test Round value to 2 decimal places T-TestT: Test Statistic The symbol and value of the random variable on this problem are as follows: Round value to 2 decimal places Select an answer v mm^3 Select an answer Fil X1 - X2 hnology to 2 decimal places: P1 - P2 n1 - n2 p1 - p2 d N1 - N2 0: Ob (1 - M2 D.Final answer from technology to 2 decimal places: t = D 0: Obtain the P-value Report the final answer to 4 decimal places. It is possible when rounded that a p-value is 0.0000 M: Make a decision Since the p-value v , we Select an answer V S: State a conclustiol