Within-group variability reflects a. random, individual differences b. error variance c. pooled variance d. the effect of the independent variable
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- When you are conducting an ANOVA, the total variance in the dependent variable is divided into variance that is due to differences between individuals _______ groups and variance due to differences _______ groups. Group of answer choices above; within over; between above; between within; betweenExplain the importance of mean and variance of random variable in decision-making. Relate it to STEM Strand and Academic Track(a) Perform the analysis of variance (ANOVA) at the 5% significance level to identify is there any difference in the mean between the three populations. 1 2 3 94 71 84 96 82 87 87 87 93 89
- The variance in a production process is an important measure of the quality of the process. A large variance often signals an opportunity for improvement in the process by finding ways to reduce the process variance. Machine 1 Machine 2 2.95 3.45 3.50 3.75 3.48 3.26 3.33 3.20 3.22 3.30 3.34 3.28 3.29 3.25 3.30 3.26 3.16 3.20 3.22 3.38 3.90 3.36 3.25 3.28 3.38 3.34 3.35 3.19 3.35 3.05 3.36 3.28 3.20 3.22 2.98 3.45 3.70 3.34 3.18 3.35 3.30 3.28 3.30 3.20 3.16 3.33 3.12 Conduct a statistical test to determine whether there is a significant difference between the variances in the bag weights for two machines. Use a 0.05 level of significance. What is your conclusion? State the null and alternative hypotheses. 2 Ho: 01 02 2 2 2 2 Ho: 01 02 Ha: 01 = 02 2 Ho: 01 02 Ha: 01 + 02 Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value State your conclusion. Do not reject Ho. We can conclude that the…The variance in a production process is an importance measure of the quality of the process. A large variance often signals an opprotunity for improvement in the process by finding ways to reduce the process variance. The conduct a statistical test to determine whether there is a significant differeence between the variance in the bag weights for two machines. Use a 0.05 level of significance. What is your conclusion? Which machine, if either, provides the greater opportunity for quality improvements? Machine 1 Machine 2 2.95 3.22 3.45 3.30 3.50 3.34 3.75 3.28 3.48 3.29 3.26 3.25 3.33 3.30 3.20 3.27 3.16 3.38 3.20 3.34 3.22 3.35 3.38 3.19 3.90 3.35 3.36 3.05 3.25 3.36 3.28 3.28 3.20 3.30 3.22 3.28 2.98 3.30 3.45 3.20 3.70 3.16 3.34 3.33 3.18 3.35 3.12 Please use excel2. Introduction to variability A researcher is studying psychological factors in athletic achievement among teenage boys. One variable he is particularly interested in is competitiveness. What information does a measure of variability for the variable competitiveness convey? Check all that apply. What is the central tendency for the variable competitiveness among teenage boys? What is the average value for the variable competitiveness among teenage boys? Do all teenage boys have the same amount of competitiveness? How consistent are the values for competitiveness among teenage boys?
- The Analysis of Variance. A research study compared beer consumed daily between 3 groups with 3 observations each. Group1 was UCB, Group 2 UCSD, and Group 3 UCI. Determine if there is a significant difference among the groups 5% level. Group1: UCB Group 2: UCSD Group 3: UCI The Results of this study are in the following table: Group1 Group2 Group3 Sample 3, 4, 5 3.2, 4, 4.2 3, 4, 3.3 Mean 4.0 3.7 3.4 S^2 4.4 5.2 6.1 null and alternative hypotheses are Null hypothesis Ho : There is a significant difference among the treatment group means Alternative Hypothesis Ha : At least one group mean is different from other group means the average mean due to treatments are…Answer A & BWhich of the following correctly represents the coefficient of determination in terms of the variance that is an output from the analysis of variance table? Select one. explained variance + unexplained variance total variance unexplained variance total variance total variance explained variance total variance
- Define what is a factor and a level in an Analysis of Variance (ANOVA). Give me an example of a factor with its levels.In a two-factor analysis of variance a main effect is defined as the ____. a. mean differences among the levels of one factor b. mean differences among all treatment conditions c. mean difference between the two factors d. difference between the largest treatment mean and the smallest treatment mean