5.32 North Carolina births (continued). Return to the data discussed in the previous exercise.

5.31 North Carolina births. The file NCbirths contains data on a random sample of 1450 birth records in the state of North Carolina in the year 2001. This sample was selected by John Holcomb, based on data from the North Carolina State Center for Health and Environmental Statistics. One question of interest is whether the distribution of birth weights differs among mothers racial groups. For the purposes of this analysis, we will consider four racial groups: white, black, Hispanic, and other (including Asian, Hawaiian, and Native American). Use the variable MomRace, which gives the races with descriptive categories. (The variable RaceMom uses only numbers to describe the races.)

a. Comment on whether the conditions of the ANOVA procedure and F-test are satisfied with these data.

b.Conduct an ANOVA. Report the ANOVA table, and interpret the results. Do the data provide strong evidence that mean birth weights differ based on the mothers racial group? Explain.