The weights for players in the National Football League (NFL) have a right skewed distributed with a mean of 245 pounds and a standard deviation of 20 pounds. Which of the following statements is most accurate in describing the distribution for the mean weight of a sample of NFL players? Select one:a.The distribution of the mean weight for 100 randomly selected NFL players will follow a right skewed distribution with mean 245 and standard deviation 2.b.The distribution of the mean weight for 100 randomly selected NFL players will follow an approximate Normal distribution with mean 245 and standard deviation 20.c.The distribution of the mean weight for 100 randomly selected NFL players will follow a right skewed distribution with mean 245 and standard deviation 20.d.The distribution of the mean weight for 100 randomly selected NFL players will follow an approximate Normal distribution with mean 245 and standard deviation 2.

Solution: Given information Mean =μ= 245 poundsStandard deviations= σ=20 Pounds The distribution is…

Answered: The weights for players in the National…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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The weights for players in the National Football League (NFL) have a right skewed distributed with a mean of 245 pounds and a standard deviation of 20 pounds. Which of the following statements is most accurate in describing the distribution for the mean weight of a sample of NFL players?

Select one:

The distribution of the mean weight for 100 randomly selected NFL players will follow a right skewed distribution with mean 245 and standard deviation 2.

The distribution of the mean weight for 100 randomly selected NFL players will follow an approximate Normal distribution with mean 245 and standard deviation 20.

The distribution of the mean weight for 100 randomly selected NFL players will follow a right skewed distribution with mean 245 and standard deviation 20.

The distribution of the mean weight for 100 randomly selected NFL players will follow an approximate Normal distribution with mean 245 and standard deviation 2.

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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