Answered: psychology student conducted a study on…

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 psychology student conducted a study on using a chief executive officer's facial structure to predict a firm's financial performance. The facial width-to-height ratio (WHR) for each in a sample of

CEOs at publicly traded firms was determined. The sample resulted in

x=2.16

and

s=0.52.

The student wants to predict the financial performance of a firm based on the value of the true mean facial WHR of CEOs. The student wants to use the value of

μ=2.3.

Do you recommend he use this value? Conduct a test of hypothesis for

to help you answer the question. Specify all the elements of the test, including

H0,

Ha,

test statistic, p-value, and your conclusion. Test at

α=0.05.

A psychology student conducted a study on using a chief executive officer's facial structure to predict a firm's financial performance. The facial width-to-height ratio (WHR) for each in a sample of 46 CEOS at publicly traded firms was determined.
The sample resulted in x = 2.16 and s = 0.52. The student wants to predict the financial performance of a firm based on the value of the true mean facial WHR of CEOS. The student wants to use the value of u = 2.3. Do you recommend he use
this value? Conduct a test of hypothesis for u to help you answer the question. Specify all the elements of the test, including Ho, Ha, test statistic, p-value, and your conclusion. Test at a = 0.05.
What are the null and alternative hypotheses?
О В. Но: Но 3 2.3
Ha: Ho #2.3
A. Ho: Ho = 2.3
Ha: Ho > 2.3
О с. Но: Но #2.3
Ha: Ho = 2.3
D. Ho: Ho = 2.3
Ha: Ho < 2.3
What is the value of the test statistic?
(Round to two decimal places as needed.)
Find the p-value.
p-value = (Round to three decimal places as needed.)
What is the appropriate conclusion at a = 0.05?
A. Do not reject Ho. There is insufficient evidence to conclude that the true mean facial WHR is not 2.3.
B. Do not reject Ho. There is sufficient evidence to conclude that the true mean facial WHR is not 2.3.
C. Reject Ho: There is sufficient evidence to conclude the true mean facial WHR is not 2.3.
O D. Reject Ho. There is insufficient evidence to conclude the true mean facial WHR is not 2.3.

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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