Answered: The Coca-Cola Company reported that the…

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

The Coca-Cola Company reported that the mean per capita annual sales of its beverages in the United States was 423 eight-ounce servings (Coca-Cola Company website, February 3, 2009). Suppose you are curious whether the consumption of Coca-Cola beverages is higher in Atlanta, Georgia, the location of Coca-Cola’s corporate headquarters. A sample of 36 individuals from the Atlanta area showed a sample mean annual consumption of 460.4 eight-ounce servings with a standard deviation of s=101.9. Answer questions 8-10.

1. Develop appropriate hypotheses for a test to determine whether the sample data support the conclusion that mean annual consumption of Coca-Cola beverage products is higher in Atlanta.

Group of answer choices. (picture attched for answer options)

�0:�>423,��:�≤423.

�0:�≥423,��:�<423.

�0:�≤423,��:�>423.

�0:�<423,��:�≥423.

2. What is the test statistic?

Group of answer choices

t=-0.367.

t=0.367.

t=-2.202.

t=2.202.

3. Using a=0.05, find the critical value and apply the rejection/decision rule. What is your conclusion?

Ο
Ηo : μ > 423, Ηa : μ < 423.
Ο Ηo : μ ≥ 423, Ηa : μ < 423.
Ο Η : μ < 423,
Ηa : μ > 423.
Ο Η :μ < 423, Η : μ > 423.

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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