Answered: The owner of an apple orchard knows…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Question

100%

The owner of an apple orchard knows that the average weight of Granny Smith apples is 380 grams. A random sample of 40 apples was selected, and the mean weight was 390 grams. Let μ = the true mean weight of the Granny Smith apples in the orchard. Under the assumption that the true mean weight of Granny Smith apples is 380 grams, 100 simulated means for samples of size 40 are shown in the dotplot.

Using the dotplot, is there evidence that the true mean weight of Granny Smith apples is greater than 380 grams?

Yes, since a sample mean weight of 390 grams or more only occurred once in 100 simulated values, there is evidence that the true mean weight is greater than 380 grams.

Yes, since a sample weight of 390 grams is greater than the mean weight of 380 grams, there is evidence to prove that the true mean weight of the apples is greater than 380 grams.

No, since a sample mean weight of 390 grams is only 10 grams more than a mean weight of 380 grams, there is insufficient evidence that the true mean weight of the apples is greater than 380 grams.

No, since a sample mean weight of 390 grams never occurred in the dotplot, it is not possible that a random sample of 40 apples will have a mean weight of 390 grams. Therefore, there is insufficient evidence that the true mean weight is greater than 380 grams.

Mean Weights of Granny Smith Apples
365
370
375
380
385
390
395
Simulated mean weights of samples n = 40

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 + ...

Expert Solution