Identify the following statements as TRUE or FALSE.If we obtain a different sample of the same size our confidence interval will be different.95% confidence interval means that 95% of the sample mean values will be within our interval.Based on our confidence interval, it is believable that the parameter is 47 minutes. 8. A college professor randomly selected one of her classes and timed, in minutes, howlong it took each of her 25 students to complete the exam. A confidence interval wasobtained using StatCrunch and the results are shown below:OptionsOne sample T summary confidence interval:H: Mean of population95% confidence interval results:Mean Sample Mean Std. Err. DF L. Limit U. Limit51 1.8073922 14 47.123529 54.876471

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Description: Identify the following statements as TRUE or FALSE.If we obtain a different sample of the same size our confidence interval will be different.95% confidence interval means that 95% of the sample mean values will be within our interval.Based on our co

A college professor randomly selected one of her classes and timed, in minutes, how long it took…

Answered: Identify the following statements as…

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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Identify the following statements as TRUE or FALSE.

If we obtain a different sample of the same size our confidence interval will be different.
95% confidence interval means that 95% of the sample mean values will be within our interval.
Based on our confidence interval, it is believable that the parameter is 47 minutes.

8. A college professor randomly selected one of her classes and timed, in minutes, how
long it took each of her 25 students to complete the exam. A confidence interval was
obtained using StatCrunch and the results are shown below:
Options
One sample T summary confidence interval:
H: Mean of population
95% confidence interval results:
Mean Sample Mean Std. Err. DF L. Limit U. Limit
51 1.8073922 14 47.123529 54.876471

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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