Assumption/s: One-way ANOVA can only be reliable if the data are normal Homoegeneity of variance is required for One-way ANOVA to be reliable. Provide proof/explanation.
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Q: assumption of normality
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Assumption/s:
- One-way ANOVA can only be reliable if the data are normal
- Homoegeneity of variance is required for One-way ANOVA to be reliable.
Provide proof/explanation.
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- A study was conducted that measured the total brain volume (TBV) (in mm³) of patients that had schizophrenia and patients that are considered normal. The first table contains the TBV of the non- schizophrenic patients and the second table contains the TBV of schizophrenia patients. Compute a 99% confidence interval for the difference in TBV of non-schizophrenic patients and patients with Schizophrenia. Prior studies say nothing about the equality of variances. Round to the nearest whole number. Total Brain Volume (in mm³) of Non-Schizophrenic Patients 1371703 1409670 1528399 1541583 1652404 1668272 1606774 1497601 1525728 1487617 1556951 1484397 1455624 1430001 1297891 1365193 1362972 1353428 1371403 1663617 1415307 1756698 1340146 1673225 1456134 1427036 1144683 1542673 1549862 1472556 1483211 1528697 1381758 1265598 Total Brain Volume (in mm³) of Schizophrenia Patients 1348795 1093447 1575546 1183986 1363837 1137626 1342077 1339149 1317181 1570744 1409139 1242976 1511787 1171081…account_circle Math StatisticsQ&A LibraryPolokwane Butchery supplies Vienna sausages in the entire of KZN province. An Inspector from the CCSA has been sceptical of the mass of the Vienna sausage packs after receiving numerous complaints. He wants to investigate the marked mass shown on Vienna sausages. A pilot study showed a mean of 11.8kg per pack and a variance of 0.49kg. How many packs should the Inspector sample in order to be 99% confident that the sample mean will differ by at most 0.2kg? Polokwane Butchery supplies Vienna sausages in the entire of KZN province. An Inspector from the CCSA has been sceptical of the mass of the Vienna sausage packs after receiving numerous complaints. He wants to investigate the marked mass shown on Vienna sausages. A pilot study showed a mean of 11.8kg per pack and a variance of 0.49kg. How many packs should the Inspector sample in order to be 99% confident that the sample mean will differ by at most 0.2kg?…A study was conducted that measured the total brain volume (TBV) (in mm³) of patients that had schizophrenia and patients that are considered normal. The first table contains the TBV of the non- schizophrenic patients and the second table contains the TBV of schizophrenia patients. Compute a 95% confidence interval for the difference in TBV of non-schizophrenic patients and patients with Schizophrenia. Prior studies say nothing about the equality of variances. Round to the nearest whole number. Total Brain Volume (in mm³) of Non-Schizophrenic Patients 1493670 1505354 1642063 1269967 1520437 1581952 1550295 1549683 1338983 1422347 1492283 1195153 1396509 1478392 1485412 1618109 1459455 1717233 1357073 1576932 1417992 1548420 1484842 1595374 1679448 1569374 1370347 1389635 1396599 1533894 1565016 1340012 Total Brain Volume (in mm³) of Schizophrenia Patients 1274453 1212643 1523072 1543675 1466250 1299458 1283251 1592091 1730346 1074105 1362385 1435833 1603966 1523104 1248181 1424469…
- (a) State the null hypothesis H, and the alternative hypothesis H . H :U H :0 1 (b) Determine the type of test statistic to use. (Choose one) ▼ (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the p-value. (Round to three or more decimal places.) (e) Can we support the claim that the variance of cholesterol levels of adult males is greater than 514? O Yes ONoA clinical trial for a psychological therapy for trauma takes 37 women and gives them one treatment for trauma and then, a year later, gives them a different treatment. The measure used to indicate success is a Likert scale where 5 means 'l found the treatment very helpful' and 1 means 'l didn't find it helpful at all. The lead researcher gathers the data and she finds a very high variance of scores across the women in each treatment, and considers giving up the analysis. She plans to do a difference in means analysis with unequal variances (she tested and found the variances were unequal). She asks for your advice: a. She is being too hasty because she is using the wrong technique. This is a paired sample and when she takes the difference in the Likert scale for each subject across the two treatments the variance of the remaining lifferences might be so low that she can detect which treatment is statistically better b. She cannot give different treatments to the same people - it…Describe a potential example of an "Analysis of Variance (ANOVA)" that could be conducted within the social sciences, and list what you believe the null and alternative hypotheses would be for this study. No data or calculations are necessary whatsoever, but you should describe why you developed your chosen hypotheses (e.g., based on your own understanding of current research, real world observations, a wild guess, etc.). In addition, specify your groups/levels, and remember that ANOVA is used to test for mean differences when there are more than two groups/levels. Thus, you should describe an example with 3 or more groups/levels.
- A manufacture of chocolate chips would like to know whether it's bag filling machine works correctly at the 404 gram setting. It is believed that the machine is under filling the bags. A 27 bag sample had a mean of 402 grams with a variance of 676. A level of significance of 0.1 will be used. Assume the population distribution is approximately normal. Is there a sufficient to support the claim that the bags are underfilled? There is or isn't sufficient evident to support this claim that the bags are underfilled?A study was conducted that measured the total brain volume (TBV) (in mm³) of patients that had schizophrenia and patients that are considered normal. The first table contains the TBV of the non- schizophrenic patients and the second table contains the TBV of schizophrenia patients. Compute a 99% confidence interval for the difference in TBV of non-schizophrenic patients and patients with Schizophrenia. Prior studies say nothing about the equality of variances. Round to the nearest whole number. Total Brain Volume (in mm³) of Non-Schizophrenic Patients 1487997 1611227 1527495 1409812 1297379 1400278 1724615 1249097 1309037 1546157 1352710 1620645 1446958 1540957 1535216 1303042 1363737 1318121 1460479 1602502 1353583 1292976 1558222 1474289 1541397 1373993 1398046 1282528 1516312 1567897 1532468 1381812 Total Brain Volume (in mm³) of Schizophrenia Patients 1653156 1037545 1063003 1287704 1262253 1455977 1438274 1280706 1451005 1283081 1214368 1536994 1082431 1372061 1096716 1699683…In swimming, clearly you would like to swim fast, but swimming consistent times is also important. A survey of 26 swims by men on a local university's swim team found a variance of their swimming times was 7 seconds. A similar survey of 21 swims by swimmers at a different university found the variance was 12 seconds. When testing the hypothesis (at the 5% level of significance) that the variances are equal, what is the test statistic? (please round your answer to 2 decimal places)
- The mean time it takes a crew to restart an aluminum rolling mill after a failure is of interest. The crew was observed over 25 occasions, and the results were mean = 26 minutes and variance = 12 minutes. If repair time is normally distributed, (a) Find a 95% confidence interval on the true but unknown mean repair time. (b) Test the hypothesis that the true mean repair time is 30 minutes.A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 442 gram setting. Based on a 23 bag sample where the mean is 438 grams and the variance 196, Is there sufficient evidence at the 0.1 level that the bags are underfilled or overfilled Assume the population distribution is approximately normal. State the null and alternative hypotheses, the value test statistic, state if it's one or two tailed, determine the decision rule for rejecting null hypothesis, and make rule to reject or fail to rejectA researcher wants to measure average cardiovascular health of university students and compare those scores to the average scores in the general population. Assuming that population variance is known, what statistical test is most appropriate for this study? independent-samples t-test single-sample t-test z-test for sample mean related-samples t-test
