The most famous geyser in the world, Old Faithful in Yellowstone National Park, has a mean time between eruptions of 85 minutes. If the interval of time between the eruptions is normally distributed with a standard deviation 21.25 minutes. (e) (e) What might you conclude if a random sample of 15 time intervals between eruptions has a mean longer than 97 minutes? Select all that apply: A The population mean may be greater than 85 minutes. Or B. The population mean is 85 minutes, and this is just a rare sampling. Or, C. The population mean is 85, minutes, and this is an example of a typical sampling result. Or, D. The population mean must be less than 85 minutes, since the probability is so low. Or, E. The population mean cannot be 85 minutes, since the probability is so low. Or, F. The population mean must be more than 85 minutes, since the probability is so low. Or G. The population mean may be less than 85 minutes.

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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The most famous geyser in the world, Old Faithful in Yellowstone National Park, has a mean time between eruptions of 85 minutes. If the interval of time between the eruptions is normally distributed with a standard deviation 21.25 minutes. (e) (e) What might you conclude if a random sample of 15 time intervals between eruptions has a mean longer than 97 minutes?

Select all that apply:
A The population mean may be greater than 85 minutes. Or
B. The population mean is 85 minutes, and this is just a rare sampling. Or,
C. The population mean is 85, minutes, and this is an example of a typical sampling result. Or,
D. The population mean must be less than 85 minutes, since the probability is so low. Or,

E. The population mean cannot be 85 minutes, since the probability is so low. Or,
F. The population mean must be more than 85 minutes, since the probability is so low. Or
G. The population mean may be less than 85 minutes.

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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