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 scores for six students follows. Critical Student Reading 521 593 470 563 536 587 460 567 473 456 Writing 535 585 448 432 417 a. Using a 05 level of significance, do students perform differently on the three portions of the Source Sum of Squares Degrees Mean SquareF p-value (to 4 (to whole number) to whole Variation umber) Freedom decimals) decimals) Treatments Blodks Error Total The p-value is C select your answer What is your conclusion? 17 Select your answer 0 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- 2018-05 8.21 P 18-? Sheet14 BMGT230??a Ready

Explanation / Answer

Using MINITAB software we get following result

Choose Stat > ANOVA > One-Way (Unstacked)

Responses [in separate columns]: Enter the columns containing the values for the response variable . Each column represents a different factor level.

Confidence level: Enter the confidence level. is 95%.

OUTPUT is

MTB > AOVOneway 'Critical Reading'-'Writing'.

One-way ANOVA: Critical Reading, Mathematics, Writing

Source    DF     SS    MS   F       P
Factor     2   287 144    0.03    0.972
Error      15   75496 5033
Total 17 75783

S = 70.94   R-Sq = 0.38%   R-Sq(adj) = 0.00%

Level         N    Mean     StDev

Critical Reading 6 502.00    67.89

Mathematics       6 503.17    72.05

Writing             6       494.17    72.79

Pooled StDev = 70.94

The P-value is 0.972, we failed to reject null hypothesis

that is the mean scores for the three parts of the SAT are equal at 5% level of significance.

b]

Critical Reading of the test seems to give the students most trouble, because it has the lowest sample standard deviation.

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