A researcher wants to know if students who do not plan to apply for financial aid have more variability on the SAT math test than those who do. Random samples of 25 students who do not plan to apply for aid (sample 1) as well as 30 who do (sample 2) are summarized below:
| Do not plan to apply for aid | Do plan to apply for aid |
| n= 21 | n= 16 |
| s= 123.1 | s= 119.4 |
Does it appear that students who do not plan to apply for financial aid are less consistent on the SAT math test than those who do plan to apply for aid? Select the appropriate critical value (CV), test statistic (TS), and decision and state the alternative hypothesis. (Useα= 0.01).
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CV = 3.37; TS = 1.0310; fail to rejectH0; \(\style{font-family:Times New Roman;}{H_1}\)states that students who do not apply for aid have scores that vary just as much as those who do apply for aid.
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CV = 3.37; TS = 1.0629; fail to rejectH0;\(\style{font-family:Times New Roman;}{H_1}\)states that students who do not apply for aid have more variable scores than those who do apply for aid.
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CV = 0.2967; TS = 1.0310; rejectH0; \(\style{font-family:Times New Roman;}{H_1}\)states that students who do not apply for aid have scores that vary just as much as those who do apply for aid.
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CV = –3.26; TS = –1.0154; rejectH0;\(\style{font-family:Times New Roman;}{H_1}\)states that students who do not apply for aid have scores that vary just as much as those who do apply for aid.
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