Answered: A local grocery store manager was…

Name: A local grocery store manager was tracking the amount of water custome
Uploaded: 2024-03-20T07:07:12.000Z
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Description: A local grocery store manager was tracking the amount of water customers purchased during the current pandemic. The store manager had read an article that stated the mean amount of water purchased by Americans was 5.7 gallons, but the store manager

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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A local grocery store manager was tracking the amount of water customers purchased during the current pandemic. The store manager had read an article that stated the mean amount of water purchased by Americans was 5.7 gallons, but the store manager claims that customers at the store purchase more than 5.7 gallons of water. To test this claim, the store manager identified a sample of 25 customers and found that the mean amount of water purchased by the sample was 6.3 gallons with a standard deviation of 1.4 gallons. Test at the 1% significance level if the mean amount of water purchased is actually higher than 5.7 gallons.

The Questions to answer are attached.

Select the correct ans wer.
(i) Hypotheses
HoiM = ,
(0,1.4, 5.7,6.3, 25)
(0, 14, 5.7,6.3, 25)
(ii) Test statistic
(2,t)
= (-2,143,2.143,0.429-0.429)
(iv) Decision
(reject null hypothesis/Do not reject 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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