Answered: The following experiment was conducted…

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 following experiment was conducted to compare the yields of two varieties of
blueberry plants. Plants of each variety were randomly selected and planted in a field.
Thirty-five (35) plants of the first variety produced an average yield of 12.5 kg per plant
with a sample standard deviation of 1.7 kg. And thirty-three (33) plants of the second
variety produced an average yield of 14.4 kg per plant with a sample standard deviation
of 1.9 kg. Does this provide sufficient evidence to conclude that there is a difference in
the mean yield for these two varieties? Use α = 0.01.
(a)[1] Write down the null and alternative hypotheses. Give the rejection region. Calculate the observed test statistic.
Give the decision and final conclusion.
What is the p-value

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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