Nike's annual report says that the average American buys 6.5 pairs ofsports shoes per year. Suppose a sample of 61 customers is surveyed andthe population standard deviation of sports shoes purchased per year is 2.1.a. What is the standard error of the mean in this experiment?b. What is the probability that the sample mean is between 6 and 7 pairs of sports shoes?c. What is the probability that the difference between the sample mean and the population mean is less than 0.35 pair?d. What is the likelihood the sample mean is greater than 7 pairs? 05. Nike's annual report says that the average American buys 6.5 pairs ofsports shoes per year. Suppose a sample of 61 customers is surveyed andthe population standard deviation of sports shoes purchased per year is 2.1.a. What is the standard error of the mean in this experiment?b. What is the probability that the sample mean is between 6and 7 pairs of sports shoes?c. What is the probability that the difference between thesample mean and the population mean is less than 0.35 pair?d. What is the likelihood the sample mean is greater than 7pairs?

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MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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Nike's annual report says that the average American buys 6.5 pairs of sports shoes per year. Suppose a sample of 61 customers is surveyed and the population standard deviation of sports shoes purchased per year is 2.1. a. What is the standard error of the mean in this experiment? b. What is the probability that the sample mean is between 6 and 7 pairs of sports shoes? c. What is the probability that the difference between the sample mean and the population mean is less than 0.35 pair? d. What is the likelihood the sample mean is greater than 7 pairs?

05. Nike's annual report says that the average American buys 6.5 pairs of
sports shoes per year. Suppose a sample of 61 customers is surveyed and
the population standard deviation of sports shoes purchased per year is 2.1.
a. What is the standard error of the mean in this experiment?
b. What is the probability that the sample mean is between 6
and 7 pairs of sports shoes?
c. What is the probability that the difference between the
sample mean and the population mean is less than 0.35 pair?
d. What is the likelihood the sample mean is greater than 7
pairs?

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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