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:

Trust

A psychological state in which one has a willingness to be vulnerable and to take risks with respect to the actions of another party.

Transformational Leadership

A leadership style where leaders inspire and motivate followers to exceed expectations and foster significant change.

LMX Differentiation

The degree to which there are variations in the quality of relationships between leaders and different members within the same team or organization.

LMX Relationships

Leader-Member Exchange Relationships; a concept in organizational behavior that explores how leaders and followers establish relationships and how those relationships influence workplace dynamics.