A charity is trying to raise money by hosting a comedy club with a famous comedian. In order to maximize donations they want to bring in the best comedian, if there is one. By surveying 100 of their target donors, they find the following preferences:ComedianZach GalifianakisMaria BamfordPatton OswaltBrian PosehnNumber of Preferences11442322 They are trying to determine who (if anyone) should be invited. Which statistical test(s) are appropriate for this problem? (Select all that apply) Single-mean Z-test Single-mean t-test Single-proportion Z-test Chi-square test for goodness of fit Two-mean Z-test Two-mean t-test None of the above

Answered: A charity is trying to raise money by…

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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A charity is trying to raise money by hosting a comedy club with a famous comedian. In order to maximize donations they want to bring in the best comedian, if there is one. By surveying 100 of their target donors, they find the following preferences:

Comedian	Zach Galifianakis	Maria Bamford	Patton Oswalt	Brian Posehn
Number of Preferences	11	44	23	22

They are trying to determine who (if anyone) should be invited. Which statistical test(s) are appropriate for this problem? (Select all that apply)

Single-mean Z-test

Single-mean t-test

Single-proportion Z-test

Chi-square test for goodness of fit

Two-mean Z-test

Two-mean t-test

None of the above

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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