Due to random variations in the operation of an automatic coffee machine, not every cup is filled with the same amount of coffee. Assume that the mean amount of coffee dispensed is 8 ounces and the standard deviation is 0.5 ounce. Use the 68-95-99.7 rule to complete the following. a. What percent of the cups should have less than 8 ounces of coffee? b. What percent of the cups should have less than 6.5 ounces of coffee?
Due to random variations in the operation of an automatic coffee machine, not every cup is filled with the same amount of coffee. Assume that the mean amount of coffee dispensed is 8 ounces and the standard deviation is 0.5 ounce. Use the 68-95-99.7 rule to complete the following. a. What percent of the cups should have less than 8 ounces of coffee? b. What percent of the cups should have less than 6.5 ounces of coffee?
Due to random variations in the operation of an automatic coffee machine, not every cup is filled with the same amount of coffee. Assume that the mean amount of coffee dispensed is 8 ounces and the standard deviation is 0.5 ounce. Use the 68-95-99.7 rule to complete the following. a. What percent of the cups should have less than 8 ounces of coffee? b. What percent of the cups should have less than 6.5 ounces of coffee?
Due to random variations in the operation of an automatic coffee machine, not every cup is filled with the same amount of coffee. Assume that the mean amount of coffee dispensed is
8
ounces and the standard deviation is
0.5
ounce. Use the 68-95-99.7 rule to complete the following.
a. What percent of the cups should have
less than
8
ounces of coffee?
b. What percent of the cups should have
less than
6.5
ounces of coffee?
Question content area bottom
Part 1
a. Approximately
enter your response here%
of the cups should have
less than
8
ounces.
Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...
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