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a Mid-Sized Company Has Decided

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A mid-sized company has decided to implement an enterprise resource planning (ERP) system, and management suspects that many of its employees are concerned about the planned implementation. Managers are considering holding informational workshops to help decrease anxiety levels among employees. To determine whether such an approach would be effective, they randomly select 16 employees to participate in a pilot workshop.
These employees were given a questionnaire to measure anxiety levels about ERP before and after participating in the workshop. Do the data indicate that anxiety levels about ERP decreases as a result of the workshop?  Pre-workshop  anxiety level 7695675764321342 Post-workshop  anxiety level 4373454653221343 Difference  (Post - Pre) 3322221111100001\begin{array} { | l | c | c | c | c | c | c | c | c | c | c | c | c | c | c | c | c | } \hline \begin{array} { l } \text { Pre-workshop } \\\text { anxiety level }\end{array} & 7 & 6 & 9 & 5 & 6 & 7 & 5 & 7 & 6 & 4 & 3 & 2 & 1 & 3 & 4 & 2 \\\hline \begin{array} { l } \text { Post-workshop } \\\text { anxiety level }\end{array} & 4 & 3 & 7 & 3 & 4 & 5 & 4 & 6 & 5 & 3 & 2 & 2 & 1 & 3 & 4 & 3 \\\hline \begin{array} { l } \text { Difference } \\\text { (Post - Pre) }\end{array} & - 3 & - 3 & - 2 & - 2 & - 2 & - 2 & - 1 & - 1 & - 1 & - 1 & - 1 & 0 & 0 & 0 & 0 & 1 \\\hline\end{array} Determine whether two samples are independent or paired.
-Are the assumptions and conditions for carrying out the paired t-test satisfied?
Explain.


Definitions:

Profit Maximizing

The process or strategy of adjusting production and sales to achieve the highest possible profit.

Profit Level

Refers to the degree of financial gain achieved by a business, indicating its success in generating earnings above its costs.

Perfectly Price-Discriminating

A theoretical market condition where a seller charges each buyer their maximum willingness to pay, capturing all possible consumer surplus.

Socially Optimal Level

The point of balance where the social benefits of an economic activity equal its social costs, maximizing overall welfare.

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