Answered: Atticus, a CrossFit instructor at…

Name: Atticus, a CrossFit instructor at Mighty Box, selected random samples
Uploaded: 2024-03-20T07:07:12.000Z
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Description: Atticus, a CrossFit instructor at Mighty Box, selected random samples of 315 students from a nearby community college and 315 students from a nearby 4-year university to compare levels of physical fitness. The mean and standard deviation of the fitne

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Atticus, a CrossFit instructor at Mighty Box, selected random samples of 315 students from a nearby community college and 315 students from a nearby 4-year university to compare levels of physical fitness. The mean and standard deviation of the fitness levels of the community college students were 98 and 20 respectively. The mean and standard deviation of the fitness levels of the 4-year university students were 101 and 22 respectively. He conducted a two-sided t-test with a resulting t-value of 1.79. If α = 0.08, what is an appropriate conclusion from this study?

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Because the p-value is less than α = 0.08, the mean fitness scores for the two groups of students are significantly different.

Because the p-value is greater than α = 0.08, the mean fitness scores for the two groups of students are not significantly different.

Because the sample means only differ by three, the population means are not significantly different.

Because the second group had a larger standard deviation, their mean fitness score is significantly higher.

Because the second group had a larger standard deviation, the mean fitness score of the first group is significantly higher.

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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