Canadian fruit wholesaler imports oranges from Morocco and Spain and would like to compare the masses of these oranges. By noting X, the mass (in grams) of oranges from Morocco and by Y the mass (in grams) oranges from Spain. We will denote by X the mean of X and Y the mean of Y. For a random sample of n = 64 oranges from the Morocco, he found a 95% confidence interval for X equal to [94.8975; 97.1025]. Whereas for a random sample of m = 81 oranges from Spain, he found a 95% confidence interval for Y equal to [84.216; 85,784]. Assuming that the variables X and Y are normally distributed with unknown but assumed equal variances, determine a 95% confidence interval for X - Y.

(A)[10.681;11.318]

(B)[8.756;10.657]

(C)[10.564;12.114]

(D)[9,693;12.307]

(E)[8.563;9.657]

HINT: First find the standard deviation of each sample.