A real estate agent has collected a random sample of 40 houses that were recently sold in Grand Rapids, Michigan. She is interested in comparing the appraised value and recent selling price (in thousands of dollars) of the houses in this particular market. The values of these two variables for each of the 40 randomly selected houses are shown below. 
-(A) Use the sample data to generate a 95% confidence interval for the mean difference between the appraised values and selling prices of the houses sold in Grand Rapids.
(B) Interpret the constructed confidence interval fin (A) for the real estate agent.
Definitions:
Most Probable
Referring to an event or outcome that has the highest likelihood of occurring compared to other possibilities.
Statistical Significance
A measure indicating that the likelihood of an observed effect or difference in a study is not due to chance alone.
Observed Differences
Variations or disparities noted upon examination or comparison of subjects or objects.
Standard Deviations
A statistic that measures the dispersion or variability within a set of numerical data, indicating how much individual data points differ from the mean.
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