A machine used for filling plastic bottles with sprite is approximately normal with a mean fill volume of 2 liters and a standard deviation of 0.07 liters. In a random sample of 30 bottles collected from the filling machine, find the probability that the sample mean of fill volume is less than 1.987 lite
A machine used for filling plastic bottles with sprite is approximately normal with a mean fill volume of 2 liters and a standard deviation of 0.07 liters. In a random sample of 30 bottles collected from the filling machine, find the probability that the sample mean of fill volume is less than 1.987 lite
A machine used for filling plastic bottles with sprite is approximately normal with a mean fill volume of 2 liters and a standard deviation of 0.07 liters. In a random sample of 30 bottles collected from the filling machine, find the probability that the sample mean of fill volume is less than 1.987 lite
A machine used for filling plastic bottles with sprite is approximately normal with a mean fill volume of 2 liters and a standard deviation of 0.07 liters. In a random sample of 30 bottles collected from the filling machine, find the probability that the sample mean of fill volume is less than 1.987 liters.
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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