Researchers are interested in the body fat measurements of elite women volleyball players from different countries test the claim that the mean body fat if elite women volleyball players from country 1 is smaller than the mean body fat if elite women volleyball players from. Country 2 at the 0.10 significance level Researchers are interested in the body fat measurementtwo different countries. Test the claim that the mean body fat offrom Country 1 is smaller than the mean body fat of elite women volleyball play2 at the 0.10 significance level.a) The null and alternative hypothesis would be:Ho: p1=p2 Ho: p1 ≥ pa Ho: M1 = 142 Ho: P1 ≤pa Ho: 1 ≤ 2 Ho: M41 2142H₁: P1 P2 H1:P pa H₁:1 > 2 H₁:11 <12b) The test is:left-tailed right-tailed two-tailedOThe sample consisted of 55 players from Country 1, with a sample mean body fat of 17.2 and astandard deviation of 3.6, and 61 players from Country 2, with a sample mean body fat of 18a standard deviation of 3.5.(to 2 decimals)

Country 1:Sample size Sample mean Sample standard deviation Country 2:Sample size Sample mean Sample…

Answered: Researchers are interested in two…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 1GP

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Researchers are interested in the body fat measurements of elite women volleyball players from different countries test the claim that the mean body fat if elite women volleyball players from country 1 is smaller than the mean body fat if elite women volleyball players from. Country 2 at the 0.10 significance level

Researchers are interested in the body fat measurement
two different countries. Test the claim that the mean body fat of
from Country 1 is smaller than the mean body fat of elite women volleyball play
2 at the 0.10 significance level.
a) The null and alternative hypothesis would be:
Ho: p1=p2 Ho: p1 ≥ pa Ho: M1 = 142 Ho: P1 ≤pa Ho: 1 ≤ 2 Ho: M41 2142
H₁: P1 P2 H1:P <p H₁: #2 H1: P1 > pa H₁:1 > 2 H₁:11 <12
b) The test is:
left-tailed right-tailed two-tailed
O
The sample consisted of 55 players from Country 1, with a sample mean body fat of 17.2 and a
standard deviation of 3.6, and 61 players from Country 2, with a sample mean body fat of 18
a standard deviation of 3.5.
(to 2 decimals)

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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