Answered: 1. What is the point estimate for…

Name: 1. What is the point estimate for the difference between the two p
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Description: 1. What is the point estimate for the difference between the two population means? For which round is the population mean score lower? 2. Develop a 90% confidence interval estimate for the difference between the population means. Use the sing

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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1. What is the point estimate for the difference between the two population means? For which round is the population mean score lower?

2. Develop a 90% confidence interval estimate for the difference between the population means. Use the single population methodology where the confidence interval is given by . Notice that 0 is in this interval: what does this say about the statistical significance of the difference in the means?

Player	Round 1	Round 2
Michael Letzig	70	72
Scott Verplank	71	72
D.A. Points	70	75
Jerry Kelly	72	71
Soren Hansen	70	69
D.J. Trahan	67	67
Bubba Watson	71	67
Reteif Goosen	68	75
Jeff Klauk	67	73
Kenny Perry	70	69
Aron Price	72	72
Charles Howell	72	70
Jason Dufner	70	73
Mike Weir	70	77
Carl Pettersson	68	70
Bo Van Pelt	68	65
Ernie Els	71	70
Cameron Beckman	70	68
Nick Watney	69	68
Tommy Armour III	67	71

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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