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Name: In an agricultural experiment, the effects of two fertilizers on the p
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Description: In an agricultural experiment, the effects of two fertilizers on the production of limes were measured. Fourteen randomly selected plots of land were treated with a brand new fertilizer, and 18 randomly selected plots were treated with an old fertliz

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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In an agricultural experiment, the effects of two fertilizers on the production of limes were measured. Fourteen randomly selected plots of land were treated with a brand new fertilizer, and 18 randomly selected plots were treated with an old fertlizer. The number of pounds of harvested limes were measured from each plot. The results are given below. (Round answers to two decimal places.)

New F. Old F.

498	429
485	428
469	427
481	421
472	412
475	419
488	431
468	436
460	415
469	428
475	417
471	437
476	437
470	420
	416
	426
	427
	419

Find a 99% confidence interval for the difference between the mean weight of the harvested limes.

margin of error:
lower limit:
upper limit:

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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