Question

1. The Scholastic Aptitude Test (SAT) contains three areas: critical reading, mathematics, and writing. Each area is scored on an 800-point scale. A sample of SAT scores for six students follows.
   1. Using a .05 level of significance, do students perform differently on the three areas of the SAT?
   2. Which area of the test seems to give the students the most trouble? Explain.

Student	Critical Reading	Mathematics	Writing
1	526	534	530
2	594	590	586
3	465	464	445
4	561	566	553
5	436	478	430
6	430	458	420

Answer 1

a)

excel data analysis tool for one factor anova,steps are: write data>menu>data>data analysis>anova :one factor>enter required labels>ok, and following o/p Is obtained,

Anova: Single Factor
SUMMARY
Groups	Count	Sum	Average	Variance
Critical Reading	6	3012	502	4686
Mathematics	6	3090	515	3161.2
Writing	6	2964	494.00	5042.80
ANOVA
Source of Variation	SS	df	MS	F	P-value	F crit
Between Groups	1348.00	2	674.00	0.16	0.8562	3.682
Within Groups	64450.00	15	4296.67
Total	65798.00	17

Ho: µ1=µ2=µ3
H1: not all means are equal

F stat = 0.16

p value = 0.8562 >α=0.05, do not reject Ho

so, students do not perform differently on the three areas of the SAT

b)

Groups			Average
Critical Reading			502
Mathematics			515
Writing			494

Writing area of the test seems to give the students the most trouble because its mean score is least