State What the Given Confidence Interval Suggests About the Two

question 14

Essay

State what the given confidence interval suggests about the two population means.
-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. Use a 0.10 significance level to test the claim that the mean GPA of students at college A is equal to the mean
GPA of students at college B. Use the traditional method of hypothesis testing. $$\text { (Note: } \left. \bar { x } _ { 1 } = 3.1125 , \bar { x } _ { 2 } = 3.4385 , \mathrm {~s} _ { 1 } = 0.4357 , \mathrm {~s} _ { 2 } = 0.5485 . \right)$$

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Definitions:

Animistic Thinking

A cognitive conception in children where inanimate objects are believed to have life and animate qualities.

Centration

A term from Piaget's theory of cognitive development, describing a stage where a child focuses on one aspect of a situation, neglecting other relevant features.

Deferred Imitation

The ability to replicate an action observed at a later time, which demonstrates an advanced level of cognitive development in children.

Preoperational

A stage in Piaget's theory of cognitive development where children ages 2-7 start to use symbols but still lack logical reasoning.