Question

A new SAT study course is tested on $12$individuals. Pre-course and post-course scores are recorded. Of interest is the mean increase in SAT scores. The following data are collected:

$\begin{array}{|ll|}\hline \text{Pre-course score}& \text{Post-course score}\\ 1& 300\\ 960& 920\\ 1010& 1100\\ 840& 880\\ 1100& 1070\\ 1250& 1320\\ 860& 860\\ 1330& 1370\\ 790& 770\\ 990& 1040\\ 1110& 1200\\ 740& 850\\ \hline\end{array}$

Short answer

The given data is an independent group means, population standard deviations and/or variances known.

Step-by-step solution

Given Information

Given data:

$\begin{array}{|ll|}\hline \text{Pre-course score}& \text{Post-course score}\\ 1& 300\\ 960& 920\\ 1010& 1100\\ 840& 880\\ 1100& 1070\\ 1250& 1320\\ 860& 860\\ 1330& 1370\\ 790& 770\\ 990& 1040\\ 1110& 1200\\ 740& 850\\ \hline\end{array}$

Explanation

Testing can be carried out after calculating the mean and variance of both samples. Independent group means, population standard deviations, and/or variances known.