Help You used a Oneway ANOVA to test whether there were any significant differences among the three counties. The omnibus F testprovided the following result: F(2,87)-12.20Was this result significant at.05? Will you need to do post-hoc tests?O not significant, yes- post-hoc testsO yes- significant, no post-hoc testsO yes-significant, yes - post-hoc testsO not significant, no post-hoc tests Single Sample t: The school year of remote learning has just ended. In the week before Easter, 5th grade children took a test oftheir readiness to enter Math instruction in Middle School the following year. The same test is given every year. The principal ofthe elementary school is trying to be hopeful, but she is concerned that performance this year was lower than in previous yearsdue to remote learning. She hires you to set up the data analysis needed to test her hypothesis that the scores were lower thanthe average test score of the past 10 years, which is 85. Remote County has Math test scores from 30 of their fifth graders (justbefore Easter).You analyzed the results from the pre-Easter comparisons and found that the average score of the 30 Remote children (M=75)was significantly lower than the average from the prior 10 years (u-85). This shows that the fifth-grade children in RemoteCounty who are leaving elementary school after a year of Remote learning did significantly worse on their Math test than theprevious 10-year average.Independent Samples t: Continuing the story from the previous question, children in Hybrid County have been attending schoolin person two days a week, and remotely two other days since January. Fifth graders in this school system take the same Mathtest. The principal of the Hybrid school contacts the principal of the elementary school in Remote County and suggests that theycompare the grades of their 5th graders with hers, to see whether the Hybrid approach students performed better than theRemote approach. Hybrid County also has 30 fifth graders who took the test.You compare the Remote County children with the Hybrid County children. The Hybrid County children had an average of M=79 which appears to be better than the average for Remote County (M=75). However, there was no statistically significantdifference between the Hybrid children's scores and Remote children's scores.Oneway ANOVA: Having just aced your college stats course, you suggest that they compare the Hybrid County average and theRemote County average with the average from a school in a rural part of the state that brought the children back to school fulltime in September of the previous year, due to the very low rate of infections in that area. Fifth graders in that school also takethe same test at the same time, just before Easter. The principal of the Rural County school likes the idea.Answer the following questions based on the background provided here.

Question

Accepted Answer

It is given that
The F test statistic for one-way ANOVA is = 12.20
Level of significance = 0.05

You used a Oneway ANOVA to test whether there were any significant differences among the three counties. The omnibus F test provided the following result: F(2.87)-12.20 Was this result significant at 05? Will you need to do post-hoc tests?