Business: Coffee Production. Suppose the amount of coffee beans loaded into a vaccum-packed bag has a mean weight of μ ounces, which can be adjusted on the filling machine. Also, the amount dispensed is normally distributed with σ = 0.2 oz . What should μ be set at to ensure that only 1 bag in 50 will have less than 16 oz?
Business: Coffee Production. Suppose the amount of coffee beans loaded into a vaccum-packed bag has a mean weight of μ ounces, which can be adjusted on the filling machine. Also, the amount dispensed is normally distributed with σ = 0.2 oz . What should μ be set at to ensure that only 1 bag in 50 will have less than 16 oz?
Solution Summary: The author calculates the value of mu to ensure that only 1 bag in 50 will have less than 16 oz.
Business: Coffee Production. Suppose the amount of coffee beans loaded into a vaccum-packed bag has a mean weight of
μ
ounces, which can be adjusted on the filling machine. Also, the amount dispensed is normally distributed with
σ
=
0.2
oz
. What should
μ
be set at to ensure that only 1 bag in 50 will have less than 16 oz?
Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.
College Algebra with Modeling & Visualization (5th Edition)
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