A pharma manufacturer set the specification limits for the API content uniformity of its tablets as $170$ mg to $230$ mg $(+/-15\%$ of the target value of $200$ mg$).$ A random sample of $30$ tablets from a production batch was analyzed with the results of X$-$bar $=191$ mg and S$=8$ mg$.$ Is this a manufacturing process capable of consistently meeting that content uniformity specification? Calculate both capability indices described in the lecture. Discuss what can be done to improve that processs capability.