The overall distance traveled by a golf ball is tested by hitting the ball with Iron Byron, a mechanical golfer with a swing that is said to emulate the distance hit by the legendary champion Byron Nelson. Ten randomly selected balls of two different brands are tested and the overall distance measured. The summary statistics are∑X1i=2764, ∑X21i=764410, n1=10.∑X2i=2636, ∑X22i=696144, n2=10.Assume normality and that the two samples have the same variance. Test the hypothesis that both brands of ball have equal mean overall distance. What is the degree of freedom of the T-statistic?What is the value of the pooled estimator of the standard deviation?What is the value of the T-statistic?What is the P-value?Let α=0.05, are you going to reject the null hypothesis?

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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The overall distance traveled by a golf ball is tested by hitting the ball with Iron Byron, a mechanical golfer with a swing that is said to emulate the distance hit by the legendary champion Byron Nelson. Ten randomly selected balls of two different brands are tested and the overall distance measured. The summary statistics are

∑X_1i=2764, ∑X²_1i=764410, n1=10.

∑X_2i=2636, ∑X²_2i=696144, n2=10.

Assume normality and that the two samples have the same variance. Test the hypothesis that both brands of ball have equal mean overall distance.

What is the degree of freedom of the T-statistic?
What is the value of the pooled estimator of the standard deviation?
What is the value of the T-statistic?
What is the P-value?
Let α=0.05, are you going to reject the null hypothesis?

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