Preliminary Data Analyses Indicate That You Can Reasonably Consider the Assumptions

question 97

Essay

Preliminary data analyses indicate that you can reasonably consider the assumptions for using pooled t-proceduressatisfied. Perform the required hypothesis test by using either the critical-value approach or the P-value approach asindicated.
-A researcher was interested in comparing the GPAs of students at two different colleges. Independent simple random samples of 8 students from college A and 13 students from college B yielded the following GPAs. $$\begin{array} { r | r } \text { College A } & \text { College B } \\ \hline 3.7 & 3.82 .8 \\ 3.2 & 3.24 .0 \\ 3.0 & 3.03 .6 \\ 2.5 & 3.92 .6 \\ 2.7 & 3.84 .0 \\ 3.6 & 2.53 .6 \\ 2.8 & 3.9 \\ 3.4 & \end{array}$$ At the 10% significance level, do the data provide sufficient evidence to conclude that the mean GPA of students at college A differs from the mean GPA of students at college B? Use the critical-value approach. $\left( \text { Note: } \bar { x } _ { 1 } = 3.1125 , \bar { x } _ { 2 } = 3.4385 , s _ { 1 } = 0.4357 , s _ { 2 } = 0.5485 . \right)$

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Definitions:

Natural Law

A philosophical theory proposing that certain rights or values are inherent by virtue of human nature and can be universally understood through reason.

Position

An individual's stance or point of view regarding a particular issue or subject.

Groningen Protocol

A set of guidelines used in the Netherlands for performing euthanasia on severely ill newborns under very specific and strict conditions.

Euthanizing

The act of intentionally ending a life to relieve pain and suffering, often in the context of terminal illness.