Answered: In an agronomic field experiment, 4…

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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Question

In an agronomic field experiment, 4 blocks of land were each subdivided in to two plots, each of
equal area. Each block provided two paired observations: one for each of the varieties of
wheat. The sample means are 31.52 lbs. and 33.17 lbs., giving rise to the mean difference
of-l .65 lbs. The difference has a sample standard deviation of 0.68 lb. For testing equality
of the two population means, what would be the computed statistic?

A. -4.85

B. -2.43

C. -1.21

D. -0.61

2.What would be your decision using classical approach for problem no. 15 above for testing
if mean weights of the two varieties are equal? (assume level of significance = 5%)

A. The computed test statistic falls in the rejection region and so we do not reject the null hypothesis

B. The computed test statistic falls in the rejection region and so we reject the null hypothesis

C. The computed test statistic does not fall in the rejection region and so we do not reject the null hypothesis

D. The computed test statistic does not fall in the rejection region and so we reject the null hypothesis

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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