Recall the empirical One study, published in 1972 by R. Risebrough, (Proceedings of the 6th Berkeley Symposium on Mathematics and Statistics, VI, University of California Press, 443–463). In that study, 60 Anacapa pelican eggs were collected and measured for their shell thickness, in millimeters (mm), and concentration of PCBs
Recall the empirical One study, published in 1972 by R. Risebrough, (Proceedings of the 6th Berkeley Symposium on Mathematics and Statistics, VI, University of California Press, 443–463). In that study, 60 Anacapa pelican eggs were collected and measured for their shell thickness, in millimeters (mm), and concentration of PCBs
Recall the empirical One study, published in 1972 by R. Risebrough, (Proceedings of the 6th Berkeley Symposium on Mathematics and Statistics, VI, University of California Press, 443–463). In that study, 60 Anacapa pelican eggs were collected and measured for their shell thickness, in millimeters (mm), and concentration of PCBs
One study, published in 1972 by R. Risebrough, (Proceedings of the 6th Berkeley Symposium on Mathematics and Statistics, VI, University of California Press, 443–463). In that study, 60 Anacapa pelican eggs were collected and measured for their shell thickness, in millimeters (mm), and concentration of PCBs, in parts per million (ppm). The PCB concentrations are presented in the following table:
Draw the relative frequency histogram
Is it reasonable to apply the Empirical rule to estimate the percentages of observations that lie within one, two, and three standard deviations to either side of the mean?
Use the empirical rule to estimate the percentages of observations that lie within one, two, and three standard deviations to either side of the
Use the data to obtain the exact percentages of observations that lie within one, two, and three standard deviations to either side of the
Compare your answers in parts (b) and (c).
Transcribed Image Text:王
里在
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 + ...
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
