A coffee manufacturer claims that the mean amount of coffee in its 6 -ounce jars is 6.1 ounces. Based on a sample of 50 jars, a consumer advocate group obtains the following 99% confidence interval for the population mean weight, :μ5.95 ounces to 6.05 ounces. Based on this interval, do you think that the manufacturerʹs claim is plausible? Possible? Explain your thinking. We can be 99% confident that the true mean weight lies between 5.95 and 6.05 ounces. Since this interval includes the value 6.1 , the manufacturer's claim is likely to be true. Nevertheless, the manufacturer's claim is possible. We can be 99% confident that the true mean weight lies between 5.95 and 6.05 ounces. Since this interval does not include the value 6.1 , the manufacturer's claim is unlikely to be true. Nevertheless, the manufacturer's claim is impossible. We can be 99% confident that the true mean weight lies between 5.95 and 6.05 ounces. Since this interval does not include the value 6.1 , the manufacturer's claim is likely to be true. Nevertheless, the manufacturer's claim is not impossible. We can be 99% confident that the true mean weight lies between 5.95 and 6.05 ounces. Since this interval does not include the value 6.1 , the manufacturer's claim is unlikely to be true. Nevertheless, the manufacturer's claim is not impossible.

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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Related questions

Question

A coffee manufacturer claims that the mean amount of coffee in its

-ounce jars is

6.1

ounces. Based on a sample of

jars, a consumer advocate group obtains the following

99%

confidence interval for the population mean weight,

:μ5.95

ounces to

6.05

ounces. Based on this interval, do you think that the manufacturerʹs claim is plausible? Possible? Explain your thinking.

We can be

99%

confident that the true mean weight lies between

5.95

and

6.05

ounces. Since this interval includes the value

6.1

, the manufacturer's claim is likely to be true. Nevertheless, the manufacturer's claim is possible.

We can be

99%

confident that the true mean weight lies between

5.95

and

6.05

ounces. Since this interval does not include the value

6.1

, the manufacturer's claim is unlikely to be true. Nevertheless, the manufacturer's claim is impossible.

We can be

99%

confident that the true mean weight lies between

5.95

and

6.05

ounces. Since this interval does not include the value

6.1

, the manufacturer's claim is likely to be true. Nevertheless, the manufacturer's claim is not impossible.

We can be

99%

confident that the true mean weight lies between

5.95

and

6.05

ounces. Since this interval does not include the value

6.1

, the manufacturer's claim is unlikely to be true. Nevertheless, the manufacturer's claim is not impossible.

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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