The Lawnpoke Golf Association has established rules that manufacturers of golf equipment must meet for the products to be acceptable for LGA events. BatOutaHell Balls has used a proprietary process to produce balls with a mean distances of 295 yards. BatOutaHell is concerned that if the mean distance falls below 295 yards, the word will get out and sales will sag. Further, if teh mean distance exceeds 295 yards, their balls may be rejected by LGA. At alpha = 0.05, test the no action hypothesis that the balls have a mean distance of 295 yards. Yards 290 272 277 287 274 305 288 297 307 284 272 280 293 279 303 295 292 289 279

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Answered: The Lawnpoke Golf Association has…

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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The Lawnpoke Golf Association has established rules that manufacturers of golf equipment must meet for the products to be acceptable for LGA events. BatOutaHell Balls has used a proprietary process to produce balls with a mean distances of 295 yards. BatOutaHell is concerned that if the mean distance falls below 295 yards, the word will get out and sales will sag. Further, if teh mean distance exceeds 295 yards, their balls may be rejected by LGA. At alpha = 0.05, test the no action hypothesis that the balls have a mean distance of 295 yards.
	Yards
	290
	272
	277
	287
	274
	305
	288
	297
	307
	284
	272
	280
	293
	279
	303
	295
	292
	289
	279

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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