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Suppose medians of two populations 1 and 2 are to be compared using Mann Whitney rank...
The following data were drawn from two independent populations. Sample 1 Sample 2 15 23 19 3430 2...
The following data were drawn from two independent populations. Sample 1 Sample 2 15 23 19 3430 28 25 34 35 37 40 a. Specify the competing hypotheses to determine whether the median of Population 1 is less than the median of Population 2 b. Find the unadjusted sum of ranks, W.(Round your answer to 1 decimal place.) Unadjusted sum of ranks : c. The pvalue for the test is found to be equal to 0.034. At the 5% significance...
1. You have two independent samples, X1,... , Xn and Y,... , Ym drawn from populations...
1. You have two independent samples, X1,... , Xn and Y,... , Ym drawn from populations with continuous distributions. Suppose the two samples are combined and the combined set of values are put in increasing order. Let Vr-1 if the value with rank r in the combined sample is a Y and V0 if it is an X, for r-1...., N, where N-m+n Show that, if the two populations are the same then mn The general linear rank statistic is...
1. You have two independent samples, Xi,..., Xn and Yi,... , Ym drawn from populations with...
1. You have two independent samples, Xi,..., Xn and Yi,... , Ym drawn from populations with continuous distributions. Suppose the two samples are combined and the combined set of values are put in increasing order. Let Vr- 1 if the value with rank r in the combined sample is a Y and V,-0 if it is an X, for r-1, . . . ,N, where N-m+ n. Show that, if the two populations are the same then mn E(V) TES...
The following data were drawn from two independent populations. Sample 1 14, 21, 17, 35, 32,...
The following data were drawn from two independent populations. Sample 1 14, 21, 17, 35, 32, Sample 2 28, 23, 31, 36, 34, 40 a. Specify the competing hypotheses to determine whether the median of Population 1 is less than the median of Population 2. H0: m1 − m2 = 0; HA: m1 − m2 ≠ 0 H0: m1 − m2 ≤ 0; HA: m1 − m2 > 0 H0: m1 − m2 ≥ 0; HA: m1 − m2 <...
Random samples were drawn from three independent populations. The results are shown in the accomp...
Random samples were drawn from three independent populations. The results are shown in the accompanying table. Use Table 3. Sample 1 12 95 115 110 9 Sample 2 10 85 105 80 75 90 Sample 3 72 65 10 76 66 55 a. Specify the competing hypotheses to test whether some differences exist between the medians. He: m-23HA: Not all population medians are equal. оне: m1 Z m2 m3; MA: All population medians are equal. He: m 2 3 HA:...
QUESTION 1 A real estate company is interested in testing whether, on average, families in Gotham...
QUESTION 1 A real estate company is interested in testing whether, on average, families in Gotham have been living in their current homes for less time than families in Metropolis have. A random sample of 100 families from Gotham and a random sample of 150 families in Metropolis yield the following data on length of residence in current homes. Gotham: Xc =35 months SC =900 Metropolis: =50 months: SM = 1050 Which of the following should be used to test...
Question #4 – Nonparametric Testing This is part C Of course there is a difference in...
Question #4 – Nonparametric Testing This is part C Of course there is a difference in the mercury concentrations of these five tributaries flowing into Lake Ontario from New York State. Just look at the median mercury concentrations of 18-mile Creek and the Genesee River. Clearly and once again, the distribution of mercury concentrations are not normal, so use the Mann-Whitney U test approach to test the claim at 95% confidence that the median mercury concentrations in these two tributaries...
only need 2-sample t-test for equal variance filled out 1. Create a table using the provided...
only need 2-sample t-test for equal variance filled
out
1. Create a table using the provided headings for the following tests. The comparison is what is being statistical tested. The other assumptions column should be any additional information needed to distinguish when that test is used as compared to the other tests in the table. (5 pts) Tests to include: 2-sample t-test for equal variance, 2-sample t-test for unequal variance, Mann-Whitney U-test, Z-test, Paired t-test, Wilcoxon Signed Rank Test, 1-Sample...
2. Two random samples are chosen from the corresponding populations. Assume that these two samples are...
2. Two random samples are chosen from the corresponding populations. Assume that these two samples are totally independent. The measurements obtained are as fol- lows: Sample 1 10.6 10.2 10.5 10.3 10.8 9.8 10.6 10.7 10.2 10.0 Sample 2 9.9 9.8 9.6 10.1 10.2 10.1 9.7 9.5 9.6 9.8 Perform a test to determine whether the population means are significantly different from each other at α-.05. (a) Perform a test for the homogeneity of variance between the two groups. Please...
Random samples that are drawn independently from two normally distributed populations yielded the following statistics. Group...
Random samples that are drawn independently from two normally distributed populations yielded the following statistics. Group 1 Group 2 - 10 ny = 15 *, -276.3 72 - 2628 2745.76 3 - 625 (The first row gives the sample sizes, the second row gives the sample means, and the third row gives the sample variances.) Can we conclude, at the 0.01 significance level, that the two population variances, o and a differ? Perform a two-tailed test. Then fill in the...
The following data were drawn from two independent populations. Sample 1 Sample 2 15 23 19 3430 28 25 34 35 37 40 a. Specify the competing hypotheses to determine whether the median of Population 1 is less than the median of Population 2 b. Find the unadjusted sum of ranks, W.(Round your answer to 1 decimal place.) Unadjusted sum of ranks : c. The pvalue for the test is found to be equal to 0.034. At the 5% significance...
1. You have two independent samples, X1,... , Xn and Y,... , Ym drawn from populations with continuous distributions. Suppose the two samples are combined and the combined set of values are put in increasing order. Let Vr-1 if the value with rank r in the combined sample is a Y and V0 if it is an X, for r-1...., N, where N-m+n Show that, if the two populations are the same then mn The general linear rank statistic is...
1. You have two independent samples, Xi,..., Xn and Yi,... , Ym drawn from populations with continuous distributions. Suppose the two samples are combined and the combined set of values are put in increasing order. Let Vr- 1 if the value with rank r in the combined sample is a Y and V,-0 if it is an X, for r-1, . . . ,N, where N-m+ n. Show that, if the two populations are the same then mn E(V) TES...
Random samples were drawn from three independent populations. The results are shown in the accompanying table. Use Table 3. Sample 1 12 95 115 110 9 Sample 2 10 85 105 80 75 90 Sample 3 72 65 10 76 66 55 a. Specify the competing hypotheses to test whether some differences exist between the medians. He: m-23HA: Not all population medians are equal. оне: m1 Z m2 m3; MA: All population medians are equal. He: m 2 3 HA:...
QUESTION 1 A real estate company is interested in testing whether, on average, families in Gotham have been living in their current homes for less time than families in Metropolis have. A random sample of 100 families from Gotham and a random sample of 150 families in Metropolis yield the following data on length of residence in current homes. Gotham: Xc =35 months SC =900 Metropolis: =50 months: SM = 1050 Which of the following should be used to test...
only need 2-sample t-test for equal variance filled
out
1. Create a table using the provided headings for the following tests. The comparison is what is being statistical tested. The other assumptions column should be any additional information needed to distinguish when that test is used as compared to the other tests in the table. (5 pts) Tests to include: 2-sample t-test for equal variance, 2-sample t-test for unequal variance, Mann-Whitney U-test, Z-test, Paired t-test, Wilcoxon Signed Rank Test, 1-Sample...
2. Two random samples are chosen from the corresponding populations. Assume that these two samples are totally independent. The measurements obtained are as fol- lows: Sample 1 10.6 10.2 10.5 10.3 10.8 9.8 10.6 10.7 10.2 10.0 Sample 2 9.9 9.8 9.6 10.1 10.2 10.1 9.7 9.5 9.6 9.8 Perform a test to determine whether the population means are significantly different from each other at α-.05. (a) Perform a test for the homogeneity of variance between the two groups. Please...
Random samples that are drawn independently from two normally distributed populations yielded the following statistics. Group 1 Group 2 - 10 ny = 15 *, -276.3 72 - 2628 2745.76 3 - 625 (The first row gives the sample sizes, the second row gives the sample means, and the third row gives the sample variances.) Can we conclude, at the 0.01 significance level, that the two population variances, o and a differ? Perform a two-tailed test. Then fill in the...
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