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Description: Several studies have shown a link between iron depletion without anemia (IDNA) and physical performance. In one recent study the physical perfomrance. In one recetn study , the physical performance of 24 females collegiate rowers with IDNA was compar

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Several studies have shown a link between iron depletion without anemia (IDNA) and physical performance. In one recent study the physical perfomrance. In one recetn study , the physical performance of 24 females collegiate rowers with IDNA was compared with 24 female collegaite rowers with normal iron status. Several differerent measures of physical performance were studied, but we'll focus here on training- session duration. Assume that trainign- session duration of female rowers with IDNA is normally distributed, with mean 58 minutes and standard devaition 11 minutes. Training- sessioin duration of female rowers with normal iron status is normall distributed, with mean 69 minutes and standard deviation 18 minutes.

A) what is the probability that the mean duration of the 24 rowers with IDNA exceeds 63 mintutes?

b) What is the probability that the mean duration of the 24 rowers with normal iron status is less than 63 minutes?

c) What is the probability that the mean duration of the 24 rowers with IDNA is greater than the mean duration of the 24 rowers with normal iron status?

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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