Quèstion 17 In a single-factor ANOVA problem involving 4 populations, the sample sizes: 3.75 2.09 O 7.83 0.56 6.67
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- You intend to conduct an ANOVA with 31 subjects, which will be divided into 3 treatment groups. (Because it will be impossible to have equal sized groups, this is referred to as an "unbalanced" single-factor ANOVA.) What are the degrees of freedom for the numerator? d.f.(treatment) = What are the degrees of freedom for the denominator? d.f.(error) =In a single-factor ANOVA problem involving 4 populations, assume that the sample sizes from each population are not equal, and that the total number of observations is 24. If SSTr = 12 and SST = 22, then MSTr = __________, MSE = __________, and the test statistic value = __________.1. A study compared testosterone levels among athletes in four sports: soccer, track, Lacrosse, and water polo. The total sample size was N = 30 (n = 10 soccer, 10 track, 5 Lacrosse, and 5 water polo). A one-way analysis of variance was used to compare the population mean levels for the four sports.Refer to Exhibit 1. What are the numerator and denominator degrees of freedom for the F-test? A: for numerator and 26 for denominator. 2. Refer to Exhibit 1. The sum of squared errors is SS Error = 100. What is the value of the Mean Square Error (MS Error)? A: 2.85 3. Refer to Exhibit 1. The sum of squares for between groups is SS Between Groups = 60. What is the Mean Square for between groups (MS Between Groups)? A: 20 4. If the significance level = 0.05, what is the conclusion?Using the a = 0.05 significance level, what is the conclusion? A: The null hypothesis is rejected: the means are significantly different. 5. A study compared testosterone levels among athletes in four sports: soccer,…
- Can you do c, d, e?The effect of graphite coating type (M, A, K, L) on light reading boxes will be investigated. Since these readings may change from day to day, the day effect was taken into the experiment as the block effect. Four coating types were tried in a random order each day. Obtained results are given below. According to this; Create the ANOVA table and interpret the results.A researcher computes the following one-way within-subjects ANOVA table. Fill in the blanks for the appropriate cells in the table below. Source of Variation SS df MS FObt Between groups 10 Between persons 60 9 Within groups (error) 9 6 Total 124 19
- 1. A partially completed ANOVA table for a completely randomized design is shown here: SOURCE DF SS MS F Treatments 18.4 A В Error D E Total 41 45.2 Complete the ANOVA table. What is the value of D? (one decimal only)Question 12 In a single-factor ANOVA problem involving five populations or treatments with a random sar 37.3801. Then the value of the test statistic is O 1.619 2.316 0.432 O 1.522 O 4.248A random sample of employees participating in a company fitness program were asked how many days they logged an exercise activity in the past month. Their responses are reported in the histogram below.Based on the histogram above, what is the class width? Clas width = ? Days What is the sample size? Sample size = ? employees
- Consider the following partially completed two-way ANOVA table. Suppose there are four levels of Factor A and two levels of Factor B. The number of replications per cell is 4. Use the 0.01 significance level. (Hint: Estimate the values from the F table.)a. Complete an ANOVA table. (Round MS and F to 2 decimal places.) Anova Source SS df MS F Factor A 70 ___ ___ ___ Factor B 90 ___ ___ ___ Interaction 300 ___ ___ ___ Error 600 ___ ___ Total 1060 ___ b. Find the critical values to test for equal means. (Round your answers to 2 decimal places.) Critical values to test for equal means are Factor A _____, Factor B ____ and interaction ______ respectively. c. Determine if there is a…2. Reporting on cheats What proportion of students are willing to report cheating by other students? A student project put this question to an SRS of 172 undergraduates at a large university: "You witness two students cheating on a quiz. Do you go to the professor?" Only 11% answered "Yes." The dotplot shows the proportion who would go to the professor in each of 1000 random samples of size 172 from a population where 11% would go to the professor. 17 0.1 0.15 0.2 0.25 Simulated sample proportion who would say "Yes" 0 0.05 Distribution of simulated proportion # samples 1000 mean 0.11 SD 0.024 (a) Use the results of the simulation to approximate the margin of error for Gallup's estimate of the proportion of U.S. adults who were satisfied with the way things were going in the United States at the time of the poll. (b) Interpret the margin of error.A yearbook company was investigating whether there is a significant difference between two states in the percents of high school students who order yearbooks. From a random sample of 150 students selected from one state, 70 had ordered a yearbook. From a random sample of 100 students selected from the other state, 65 had ordered a yearbook. Which of the following is the most appropriate method for analyzing the results? A one-sample zz-test for a sample proportion A A one-sample zz-test for a population proportion B A two-sample zz-test for a difference in sample proportions C A two-sample zz-test for a difference in population proportions D A two-sample zz-test for a population proportion