Answered: What does the dot above 21 represent?…

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

A bottled water company bottles varying sizes of water, from 8-ounce to 1-gallon containers. The company has determined that the mean quantity in their 20-ounce bottles is 20.8 ounces with a standard deviation of 0.6 ounces. The bottling plant manager believes his machines are overfilling the bottles. A random sample of 30 bottles is taken, and the mean number of ounces of water is determined to be 21. Under the assumption that the true mean ounces of water is 20.8, 100 simulated means for samples of size 30 are shown in the dotplot

What does the dot above 21 represent?

A) The majority of the samples had a mean less than 21 ounces.

B) In one simulated random sample of 30 bottles of water, the mean number of ounces was 21.

C) In one simulated random sample of 30 bottles of water, the mean number of ounces of the population was 21.

D) There is a 1 in 100 chance that a random sample of 30 bottles of water will have a mean number of ounces greater than 21.

bottled water company bottles varying sizes of water, from 8-ounce to 1-gallon containers. The company has
etermined that the mean quantity in their 20-ounce bottles is 20.8 ounces with a standard deviation of 0.6 ounces.
he bottling plant manager believes his machines are overfilling the bottles. A random sample of 30 bottles is taken,
nd the mean number of ounces of water is determined to be 21. Under the assumption that the true mean ounces
water is 20.8, 100 simulated means for samples of size 30 are shown in the dotplot
Mean Ounces of Water for 20-ounce Bottles
20.50
20.60
20.70
20.80
20.90
21.00
21.10
Simulated means of samples, n = 30
/hat does the dot above 21 represent?
0000

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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