Do high school students from different racial/ethnic groups have different attitudes toward mathematics? Measure the level of interest in mathematics on a five-point scale for a national random sample of students. Here are summaries for students who were taking math at the time of the survey. Racial/Ethnic group n x s
African American 801 2.57 1.45
White 1867 2.28 1.32
Asian/Pacific Islander 653 2.63 1.29
Hispanic 878 2.45 1.29
Native American 204 2.51 1.25
(a) Calculate the ANOVA table and the F statistic. (Round your answers for SS, MS, and F to two decimal places.)
SOURCE DF SS MS F
Groups
Error
Total
(b) Software gives
P < 0.001.
What explains the small P-value?
The standard deviations are very similar.
There are several groups being compared.
The mean responses are very similar.
The sample sizes are very large.
Do you think the differences are large enough to be important?