Estimate the probability that difference in sample means of 20 L cups and 25 M cups is within .25 ounces of the true difference in means. (FRQ Style)

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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11) Difference in Means: A fast-food restaurant uses an
automated filling machine to pour its drinks. The machine has
different settings for large (L) and medium (M) and follows an
approximately normal distribution. The amount of liquid for L
has a mean of 27 ounces and a standard deviation of 0.8 oz. The
amount of liquid for M has a mean of 17 ounces and standard
deviation of 0.5 oz. Estimate the probability that difference in
sample means of 20 L cups and 25 M cups is within .25 ounces of
the true difference in means. (FRQ Style) 

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