A Researcher Wants to Know If Students Who Do Not

question 19

Multiple Choice

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: ​ ​
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.(Use α = 0.01) .

• A) CV = 3.37; TS = 1.0310; fail to reject H₀; states that students who do not apply for aid have scores that vary just as much as those who do apply for aid.
• B) CV = 3.37; TS = 1.0629; fail to reject H₀; states that students who do not apply for aid have more variable scores than those who do apply for aid.
• C) CV = 0.2967; TS = 1.0310; reject H₀; states that students who do not apply for aid have scores that vary just as much as those who do apply for aid.
• D) CV = -3.26; TS = -1.0154; reject H₀; 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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Definitions:

Mean Breaking Strength

The average force required to break a material or object under tension tests.

Test Statistic

A numerical value computed from sample data to evaluate a hypothesis in statistical analysis.

Dissolved Oxygen

The amount of oxygen that is present in water, which is essential for the survival of fish and other aquatic organisms.

Water Pollution

Water pollution is the contamination of water bodies, such as rivers, lakes, oceans, and groundwater, caused by pollutants that harm living organisms and the environment.