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Consider the Following Results for Two Samples Randomly Taken from Two

question 148

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Consider the following results for two samples randomly taken from two populations.
 Sample A  Sample B  Sample Size 2830 Sample Mean 2422 Sample Standard Deviation 86\begin{array}{lcc}&\text { Sample A } & \text { Sample B } \\\text { Sample Size }&28 &30\\\text { Sample Mean }&24 & 22 \\\text { Sample Standard Deviation }&8& 6\end{array}
a. Determine the degrees of freedom for the t distribution.
b. Develop a 95% confidence interval for the difference between the two population means.
c. Is there conclusive evidence that one population has a larger mean? Explain.


Definitions:

Instinct Theory

The view that behaviors are motivated by instincts, which are innate tendencies or biological forces that determine human actions.

Inborn Patterns

Innate behaviors or responses that are genetically programmed and evident from birth.

Need for Affiliation

A psychological drive that compels individuals to seek out social interactions and relationships.

Birth Order

The sequence at which a person is born in their family, which is thought to have an impact on their personality and psychological development.

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