Question

Please only answer parts b and c

TOUT ERIWULK SHuu De neat and easy to read. If I cannot read your homework, I cannot grade it. This means you may have to do a rough draft first (this usually means doing scratch work) before writing up a final copy. 1. Researchers were interested in learning if Piano lessons improved spatio-temporal reasoning. They scored the change in spatio-temporal reasoning of 34 children who took piano lessons, 10 who took singing lessons, 20 who had some computer instruction, and 14 who received no extra lessons. (a) Give the hypotheses for the ANOVA. (b) The sample means and standard deviations are given below. Does there appear to be a difference for Piano students? Draw a line plot of the means to answer this question. Type N Mean St. Dev Piano 34 3.62 3.055 Singing 10 --301.494 Computer 2045 2.212 None 14 .79 3.191 (c) Is the assumption with respect to standard deviations satisfied? Why or why not? (d) The ANOVA table is below. Complete the table, give the F-test statistic, the p-value and give a conclusion. Sum of Sqares df Mean Square F Sig. Between Groups 207.281 .000 Within Groups Total 760.718

Answer 1

b) The line plot is as shown below: Piano Singine Computer None -0.5 c) The assumption with respect to standard deviations does not seem to be satisfied because the standard deviations of Piano and None seems to be significantly different from the standard deviations of Singing and Computer. Good luck with your studies!!!