Answered: Professional Golfers’ Earnings Two…

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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Professional Golfers’ Earnings Two random samples of earnings of professional golfers were selected. One sample was taken from the Professional Golfers Association, and the other was taken from the Ladies Professional Golfers Association. At α=0.10, is there a difference in the means? The data are in thousands of dollars. Use the critical value method with tables.

PGA
446	1147	1344	9188	5687
4910	8553	7573	375
LPGA
48	76	122	466	863
100	1876	2029	4364	2921

(a)State the hypotheses and identify the claim.

H0: claim/ do not claim

H1: claim/do not claim

This hypothesis test one tailed/two tailed a (Choose one) test.

(b)Find the critical value. Round the answer to at least two decimal places.

Critical value is

(c)Compute the test value. Round the standard deviations and F

score values to at least two decimal places as needed.

(d)Make the decision.

Reject/ do not reject (Choose one) the null hypothesis.

(e)Summarize the results.

There is/is not enough evidence to support the claim

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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