A single serving of potato chips is considered to be about 42 grams (about 1.5 ounces). Single-serving bags are filled by a machine but because the chips vary in size and weight, the total weight in a bag varies according to a normal distribution. Suppose the machine is set so that the mean weight is 45 grams. A small proportion of the bags end up weighing less than 42 grams due to the random distribution. The manufacturer wants to REDUCE the proportion that weighs less than 42 grams. Assume the mean must stay at 45 grams, but the company can alter the standard deviation. Use a sketch to decide how the company can proceed if they want to reduce this proportion by changing the standard deviation.
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