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- Q1. An anthropologist wants to collect data to determine whether the two different cultural groups that occupy an isolated Pacific Island grow to be different heights. The results of his samples of the heights of adult females are as follows Group A n = 120 X,= 62.7 Sz=2.5 Group B n = 150 X2 = 61.8 S2 = 2.62 Do these samples constitute enough evidence to reject the null hypothesis that the heights of the two groups are the same? Set alpha to .05. 3. What is the value of the test statistic? A. T = 9.20 B.T = 2.86 C.Z = 9.20 D.T = 1.44 E.None of theseQ1. An anthropologist wants to collect data to determine whether the two different cultural groups that occupy an isolated Pacific Island grow to be different heights. The results of his samples of the heights of adult females are as follows Group A n = 120 X1= 62.7 Group B n = 150 X2 = 61.8 $z=2.5 S2 = 2.62 Do these samples constitute enough evidence to reject the null hypothesis that the heights of the two groups are the same? Set alpha to .05. 1. What are the appropriate null and alternative hypothesis? A. Ho: H1 – H2 = 0_H;: µ1 – H2 # 0 B. Ho: H1 - H2 2 0 H;: H4- Hz 0 D. Ho: H1 - H2 # 0 H: H1 – Hz = 0 E. None of these.Qn2. (1) Complete the following ONE WAY ANOVA table. (i) Conduct ANOVA test at 5% level of significance Source of Sum of Degrees of Mean F variation squares freedom squares Between A 3 5 3 Within B D Total 14
- Q1. An anthropologist wants to collect data to determine whether the two different cultural groups that occupy an isolated Pacific Island grow to be different heights. The results of his samples of the heights of adult females are as follows Group A n = 120 X,= 62.7 Group B n = 150 X, = 61.8 S1= 2.5 S2 = 2.62 Do these samples constitute enough evidence to reject the null hypothesis that the heights of the two groups are the same? Set alpha to .05. What are the appropriate null and alternative hypothesis? A. Ho: H1- H2 = 0 H;: H1 - H2 * 0 B. Ho: H1- H2 N0 H: H-H2 0 D. Ho: H1 - H2 # 0 H: H- H2 = 0 E. None of these. 2. What is the Test statistics? A.T = X-9-Do B. Z = -9-Do C. T = -9-Do D-Do D.T = E. Z = -9-Do 1, 1 SD 1 ni'n2 n1 n2 zu Tu 3. What is the value of the test statistic? A. T = 9.20 B.T = 2.86 C.Z = 9.20 D.T = 1.44 E.None of these A TOSHIBA F6 F10 F11 F12 SNI YJU12could you write with a pen and paper?
- 9. A random sample of 135 people yielded the following contingency table describing the relationship between migraine headaches and caffeine consumption (low, medium, high). Caffeine Consumption Low Med. High Migraine 5 8 15 No Migraine 35 42 30 Suppose we wish to test H0 : caffeine and migraines are independent versus Ha : caffeine and migraines are not independent at the α = 0.05 significance level. What is the value of the test statistic and p−value? 10. In reference to question (9), which of the following is/are true? (A) There is not a significant association between caffeine and migraines (B) The test statistic does not fall in the rejection region (C) The critical value is equal to 7.38 D) The expected counts eij are computed assuming caffeine and migraines are independentQ1. An anthropologist wants to collect data to determine whether the two different cultural groups that occupy an isolated Pacific Island grow to be different heights. The results of his samples of the heights of adult females are as follows Group A n = 120 X1= 62.7 Group B n = 150 X2 = 61.8 S2 = 2.62 S1=2.5 Do these samples constitute enough evidence to reject the null hypothesis that the heights of the two groups are the same? Set alpha to .05. 5. What is the appropriate decision and conclusion? A. Reject Ho, so there is significance evidence to conclude heights of the two groups are different. B. Fail to eject Ho, so no significance evidence to conclude heights of the two groups are different. C. Fail to reject Ho, so there significance evidence to conclude: heights of the two groups are different D. Reject Ho, so no significance evidence to conclude heights of the two groups are different.Researchers collected data on the numbers of hospital admissions resulting from motor vehicle crashes, and results are given for Friday the 6th and Friday the 13th in the same month. Use the Wilcoxon signed-ranks test to test the claim that the matched pairs have differences that come from a population with median equal to zero at a significance level of α = 0.1. Fri. 6th 14 Fri. 13th 14 14 8 9 11 11 13 7 8 5 5 Click to view a table of critical values for the Wilcoxon signed-ranks test. 8 D First define the null and alternative hypotheses. Ho: The population of differences has a median equal to 0. H₁: Calculate the test statistic. T=0 Calculate the critical value. The critical value is. What is the conclusion for this hypothesis test? O A. Reject Ho. There is sufficient evidence to warrant rejection of the claim of no difference. O B. Fail to reject Ho. There is insufficient evidence to warrant rejection of the claim of no difference. O C. Reject Ho. There is insufficient evidence to…
- Formulate research problems and hypotheses to test the effect between 2 variables (variable X and variable Y). The following presents quantitative data from the measurement results of variables X and Y from a number of individuals (sample) taken randomly from a certain population. The distribution of the measurement data is as follows: No. Resp. 1 2 3 456 789 10 11 12 13 14 15 16 Var.X 11 22 9 5 25 10 13 12 17 16 20 15 18 19 23 28 Var.Y 17 30 12 9 34 15 20 19 24 22 29 21 25 27 31 36 Based on these data, solve the following statistical problems: d. What is the direction of the relationship formed between the X variable and the Y variable?1. For each row of the table you are given a p-value and a level of significance (a). Determine which hypothesis is supported, if the data are significant and which type error could be made. If a given p- value is not a valid p-value (because it is greater than 1), put an x in each box in therow. p-value Hypothesis Họ or H1 Significant or Not Significant Error Type I or Type II 0.043 0.05 0.32 0.05 0.043 0.01 0.0035 0.01 0.043 0.10 0.15 0.10 5.6 x 106 0.05 7.3256 0.01 2. For the hypothesis test, write the concluding sentence in the form used by researchers. Context: Support paying off student dept, H1: p 8 ft, p-value-5.6 x 10°, a=0.05, n=56. 4. For the hypothesis test, write the concluding sentence in the form used by researchers. Context: Blood pressure for men and women, H1: Hw # HM ft, p-value3D0.0035, a=0.01, n=2403.A statistical program is recommended. The Jacobs Chemical Company wants to estimate the mean time (minutes) required to mix a batch of material on machines produced by three different manufacturers. To limit the cost of testing, four batches of material were mixed on machines produced by each of the three manufacturers. The times needed to mix the material follow. Manufacturer 1 Manufacturer 2 Manufacturer 3 1 21 0 P₂- 27 (a) Define all variables. X₁ 25 23 X₂ 0 Moi Bo = 0 H₂:0 27 Ho: Poo H₂: Po=0 25 30 26 Manufacturer 1 2 3 19 18 Write a multiple regression equation that can be used to analyze the data. E(y) = 22 (b) What are the best estimates of the coefficients in your regression equation? Po - 21 (c) In terms of the regression equation coefficients, what hypotheses must we test to see whether the mean time to mix a batch of material is the same for all three manufacturers? Hoi B₁-B₂=0 H: One or more of the parameters is not equal to zero. OH: One or more of the parameters is not…
