Suppose the diameter at breast height (inches) of trees of a certain type is normally distributed with mean 8.8 and standard deviation 2.8What is the probability that the diameter of a randomly selected tree will be at least 10 inches?If 16 observations on diameter at breast height (inches) of trees are taken then find the probability that the sample mean diameter will be within 0.3 inches of the true population mean.How many observations should be taken in the sample so that the sample mean will be within 0.3 inches of the true population mean with probability 0.98?

Let X be the diameter of trees (at breast height). X~N(8.8 , 2.82) The probability that the diameter…

Answered: Suppose the diameter at breast height…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

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ISBN:9780079039897

Author:Carter

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Chapter10: Statistics

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Suppose the diameter at breast height (inches) of trees of a certain type is normally distributed with mean 8.8 and standard deviation 2.8

What is the probability that the diameter of a randomly selected tree will be at least 10 inches?
If 16 observations on diameter at breast height (inches) of trees are taken then find the probability that the sample mean diameter will be within 0.3 inches of the true population mean.
How many observations should be taken in the sample so that the sample mean will be within 0.3 inches of the true population mean with probability 0.98?

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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