Using the numerical analysis in the dataset provided (refer to the Numerical Analysis tab), discuss if there is a difference between the mean ethical score rated by customers who purchased verified diamonds and those who purchased unverified diamonds. Specifically:

(a) Justify the analysis approach used.

(b) Interpret the results of your analysis.

(c) Advise the FD on what the results mean for Louis Edgar.

Prepare and interpret the results of a numerical analysis to determine if there is a potential relationship between Louis Edgars ethical score and the following: (a) Total Sales (b) Gross Profit Margin (c) Satisfaction Score (d) Brand Loyalty Include the results of your analysis in your response (for example, in a table).

F-Test Two-Sample for Variances - Ethical Scores \begin{tabular}{l|r|r} \hline & Unverified Diamonds & Verified Diamonds \\ \hline Mean & 7.811764706 & 8.7 \\ \hline Variance & 0.487955182 & 0.281355932 \\ \hline Observations & 85 & 60 \\ \hline df & 84 & 59 \\ \hline F & 1.734298539 & \\ \hline (F variance of variable 2 , which is the case 0.49>0.28. Otherwise, variables must be swapped. F>F Critical one-tail (1.73>1.50); hence, Variances are not equal and t-test for unequal variances should be used. t-Test: Two-Sample Assuming Unequal Variances - Ethical Scores \begin{tabular}{l|r|r} \hline & Unverified Diamonds & Verified Diamonds \\ \hline Mean & 7.811764706 & 8.7 \\ \hline Variance & 0.487955182 & 0.281355932 \\ \hline Observations & 85 & 60 \\ \hline Hypothesized Mean Difference & 0 & \\ \hline df & 142 & \\ \hline t Stat & -8.697364008 & \\ \hline P(T3.80569E15 & \\ \hline t Critical one-tail & 1.655655173 & \\ \hline P(T7.61138E15 & \\ \hline t Critical two-tail & 1.976810994 & \\ \hline \end{tabular} (For t-test, the order of variables does not matter)