Read the problem given below and then answer the questions. The Scholastic Aptit
ID: 3231142 • Letter: R
Question
Read the problem given below and then answer the questions. The Scholastic Aptitude Test (SAT) contains three parts: critical reading, mathematics, and writing. Each part is scored on an 800-point scale. Information on test scores for the 2009 version of the SAT is available at the College Board website. A sample of SAT scores for six students is given below and found on the Q drive as: SATSCORES. We should test whether the students perform differently on the three portions of the SAT. Should the experimenter test to see if each student performed differently? If not, why not. Based on your answer above, what type of ANOVA test is this?Explanation / Answer
(a) It is not necessary to test if each student performed differently. It is enough to see if the students as a whole performed differently.
(b) This is a one-factor ANOVA
Since 0.8562 > 0.05, we fail to reject the null hypothesis. There is no sufficient evidence that the performances are different.
One factor ANOVA Mean n Std. Dev 502.0 6 68.45 Critical Reading 515.0 6 56.22 Mathematics 494.0 6 71.01 Writing 503.7 18 62.21 Total ANOVA table Source SS df MS F p-value Treatment 1,348.00 2 674.000 0.16 .8562 Error 64,450.00 15 4,296.667 Total 65,798.00 17Related Questions
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