Answered: Hypothesis Test for the Difference…

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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Hypothesis Test for the Difference Between Two Population Means

You were asked to compare your team’s skill level (from its years) with the assigned team’s skill level (from the assigned time frame). You tested the claim that the skill level of your team is the same as the skill level of the assigned team, using a 1% level of significance.

Mean Relative Skill of your team in the years 2013 to 2015 = 1601.28

Mean Relative Skill of the assigned team in the years 1996 to 1998 = 1739.8

Hypothesis Test for the Difference Between Two Population Means:

Test Statistic = 33.51

P-value = 0.0

Use the above data to answer the following questions:

In general, how is hypothesis testing used to test claims about the difference between two population means?
Summarize all important steps of the hypothesis test. This includes:
- Null Hypothesis (statistical notation and its description in words)
- Alternative Hypothesis (statistical notation and its description in words)
- Conclusion of the hypothesis test and its interpretation based on the P-value
What are the implications of your findings from this hypothesis test? What is its practical significance?

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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