### Example on one-way anova

Assignment Help Basic Statistics
##### Reference no: EM138033

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. A possible alternative in the one-way ANOVA is

A. the mean SAT scores are the same for public and private schools, but these are both lower than the average SAT for home schooling.
B. the mean SAT scores are the same for home schooling and private schools, and both are higher than the average for public schools.
C. Both choices are correct.

2. 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, followed by the one-way ANOVA table.

Analysis of variance

H0: the mean SAT score is the same for all three types of schools

Ha: the mean SAT score is not the same for all three types of schools

is
A. less than 0.05.
B. between 0.05 and 0.10.
C. greater than 0.10.