1. A researcher is interested in comparing SAT scores for students enrolled in public schools, private schools, and those home schooled. She selects a random sample of 20 high school students from each group and administers the SAT exam to them. She is interested in testing the null hypothesis that the mean SAT score is the same for each type of schooling using the one-way ANOVA. Some summary statistics for the three groups are given below.
An ANOVA F test was run on the data with the following results.
One-way analysis of variance
Analysis of variance
Multiple comparison procedures are going to be done using the Bonferroni method with = 0.05. The value of t** is 2.4667. Which of the following is the appropriate conclusion from carrying out these multiple comparisons?
A. Home school has a higher mean SAT than either public or private schools. Public and private schools are indistinguishable.
B. Home schooling is the best, followed by private schooling and then public schools. All differences are significant.
C. No differences between the mean SAT scores of the three types of schools are found at = 0.05.