Question
A large Canadian fruit imports its oranges from Morocco and Spain and would like to compare the masses of these oranges. Noting X, the mass
A large Canadian fruit imports its oranges from Morocco and Spain and would like to compare the masses of these oranges. Noting X, the mass (in grams) of oranges from Morocco and by Y the mass (in grams) of oranges from Spain. We will denote by X the average of X and Y the average of Y. For a random sample of n = 64 oranges from Morocco, a 95% confidence interval for X was found equal to [94.8975; 97.1025]. While 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.
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