A study was conducted to examine the degree that the length of gestation influences school achievement for children born in the normal range of 37 to 41 weeks gestation. Academic achievement was measured by a third grade reading test that we summarize for the gestation periods 37, 39, and 41 weeks.

(a) complete the ANOVA table.

(b) State the conclusion to the F test for equality of means. Take a = .05.
(c) Calculate 95% simultaneous confidence intervals for the differences in means.
(d) Specify which population means are different and which are not, as well as their orderings. What is your overall conclusion regarding the reading scores and gestation length.

Transcribed Image Text:

Third Grade Reading Scores Gestation Weeks 37 39 41 ":"s 12184 "2#35197 My 22091 50.335 509751.155 9.603 9.756 Sum of Mean Source Squares d Square F-ratio Treatment Error Total 6410377 69469 69471