The Scholastic Aptitude Test (SAT) contains three parts, critical reading, mathe

Question

The Scholastic Aptitude Test (SAT) contains three parts, critical reading, mathematics, and writing. Each part is scored on an 800-point scale. A sample of SAT for six students follows. Critical Reading 521 593 470 563 Student Mathematics Writing 535 536 587 460 567 473 456 448 432 417 a. Using a 05 level of significance, do students perform differently on the three portions of the SAT? O Source Sum of Squares Degrees Mean SquareF p-value (to 4 of (to whole of Variation number) Freedom number)decimals) decimals) (to whole (to 2 Blocks Error Total The p-value is -Select your answer-t What is your conclusion? Select your answer 3 that the mean scores for the three parts of the SAT are not equal. b. Which portion of the test seems to give the students the most trouble? -Select your answer Because it has the lowest -Select your answer

Explanation / Answer

as P value from R 0.002051001

as P is <.05 we reject the null

so all groups are not same

formulas

N =3n

dftotal =N-1

dfgroup =k-1=2

dftotal= N-k

CF=(sum x) ^2/ N

SStotal = sum x^2-CF

SSgroup= (sum x)^2 /6 - CF

SError = Stotal-Sgroup

MStotal = SStotal/dftotal

n =6

N=18

k =3

MSerror= MStotal/dferror

reading math writing sum X 3012 3079 2965 sum x^2 1535072 1596619 1491693 n 6 6 6 (sum x)^2 9072144 9480241 8791225 SS group 1512024 1580040.167 1465204.167

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