escYou may need to use the appropriate technology to answer this question.Information regarding the ACT scores of samples of students in three different majors is given below.Sample Size79°FSunnyAverageSample Variance?(a) Compute the overall sample mean x.ManagementBetween TreatmentsWithin Treatments12Total2617f3MajorFinance(b) Set up the ANOVA table for this problem including the test statistic. (Round your mean squares to four decimal places and your F statistic to two decimal places.)9f4¹/PERE236Source of Variation Sum of Squares Degrees of Freedomf5Accounting11(c) Using a = 0.01, determine the critical value of F. (Round your answer to two decimal places.)102511(d) Using the critical value approach, test to determine whether there is a significant difference in the means of the three populations.We should not reject Ho and therefore can conclude that there is a significant difference among the means of the three populations.We should not reject Ho and therefore cannot conclude that there is a significant difference among the means of the threepopulations.We should reject Ho and therefore cannot conclude that there is a significant difference among the means of the three populations.We should reject H and therefore can conclude that there is significant difference among the means of the three-populationsO101f64-Mean Square4+fgKAAfgFDII10f10DDIf12.insertprt scWdeletehome4x Dend1:23 PM10/16/2022pg uppg d esc(b) Set up the ANOVA table for this problem including the test statistic. (Round your mean squares to four decimal places and your F statistic to two decimal places.)Source of Variation Sum of Squares79°FSunnyBetween TreatmentsWithin Treatments?TotalNeed Help?(c) Using a = 0.01, determine the critical value of F. (Round your answer to two decimal places.)[L](d) Using the critical value approach, test to determine whether there is a significant difference in the means of the three populations.We should not reject Ho and therefore can conclude that there is a significant difference among the means of the three populations.We should not reject Ho and therefore cannot conclude that there is a significant difference among the means of the threepopulations.O We should reject H and therefore cannot conclude that there is a significant difference among the means of the three populations.O We should reject Ho and therefore can conclude that there is a significant difference among the means of the three populations.Read It(e) Determine the p-value and use it for the test. (Round your answer to three decimal places.)The p-value =Since this is greater than ✔ the significance level we should notdifference among the mean ACT scores of the three majors.3Degrees of FreedomaNUOf510CEOLMean Squaref64-♫+fgIAA▷IIhpf10reject H and conclude that there is notDDIf11f12.insertprt scWsufficient evidence in the data to suggest a significantdeletehome4x Dend1:23 PM10/16/2022pg uppo

Question

escYou may need to use the appropriate technology to answer this question.Information regarding the ACT scores of samples of students in three different majors is given below.Sample Size79°FSunnyAverageSample Variance?(a) Compute the overall sample mean x.ManagementBetween TreatmentsWithin Treatments12Total2617f3MajorFinance(b) Set up the ANOVA table for this problem including the test statistic. (Round your mean squares to four decimal places and your F statistic to two decimal places.)9f4¹/PERE236Source of Variation Sum of Squares Degrees of Freedomf5Accounting11(c) Using a = 0.01, determine the critical value of F. (Round your answer to two decimal places.)102511(d) Using the critical value approach, test to determine whether there is a significant difference in the means of the three populations.We should not reject Ho and therefore can conclude that there is a significant difference among the means of the three populations.We should not reject Ho and therefore cannot conclude that there is a significant difference among the means of the threepopulations.We should reject Ho and therefore cannot conclude that there is a significant difference among the means of the three populations.We should reject H and therefore can conclude that there is significant difference among the means of the three-populationsO101f64-Mean Square4+fgKAAfgFDII10f10DDIf12.insertprt scWdeletehome4x Dend1:23 PM10/16/2022pg uppg d esc(b) Set up the ANOVA table for this problem including the test statistic. (Round your mean squares to four decimal places and your F statistic to two decimal places.)Source of Variation Sum of Squares79°FSunnyBetween TreatmentsWithin Treatments?TotalNeed Help?(c) Using a = 0.01, determine the critical value of F. (Round your answer to two decimal places.)[L](d) Using the critical value approach, test to determine whether there is a significant difference in the means of the three populations.We should not reject Ho and therefore can conclude that there is a significant difference among the means of the three populations.We should not reject Ho and therefore cannot conclude that there is a significant difference among the means of the threepopulations.O We should reject H and therefore cannot conclude that there is a significant difference among the means of the three populations.O We should reject Ho and therefore can conclude that there is a significant difference among the means of the three populations.Read It(e) Determine the p-value and use it for the test. (Round your answer to three decimal places.)The p-value =Since this is greater than ✔ the significance level we should notdifference among the mean ACT scores of the three majors.3Degrees of FreedomaNUOf510CEOLMean Squaref64-♫+fgIAA▷IIhpf10reject H and conclude that there is notDDIf11f12.insertprt sc>Wsufficient evidence in the data to suggest a significantdeletehome4x Dend1:23 PM10/16/2022pg uppo

Accepted Answer

An ANOVA test is a method of statistical analysis that checks for variance-based mean differences to…