CONFIDENCE INTERVAL A sample of 60 days showed that a restaurant served an average of 190 customers during dinner. The standard deviation of the sample is 9. Find the 99% confidence interval for the mean.The supervisor of a milling company wishes to estimate the average age of employees presently employed. From past studies, the standard deviation is known to be 3 years. A sample of 90 employees is selected, and the mean is found to be 32.4 years. Find the 95% confidence interval of the population mean.The mean of the maximum loads supported by the 75 cables is 12.18 tons and the standard deviation is 0.54. Find the 90% confidence interval for the mean.

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Description: CONFIDENCE INTERVAL A sample of 60 days showed that a restaurant served an average of 190 customers during dinner. The standard deviation of the sample is 9. Find the 99% confidence interval for the mean.The supervisor of a milling company wishes to

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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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CONFIDENCE INTERVAL

A sample of 60 days showed that a restaurant served an average of 190 customers during dinner. The standard deviation of the sample is 9. Find the 99% confidence interval for the mean.
The supervisor of a milling company wishes to estimate the average age of employees presently employed. From past studies, the standard deviation is known to be 3 years. A sample of 90 employees is selected, and the mean is found to be 32.4 years. Find the 95% confidence interval of the population mean.
The mean of the maximum loads supported by the 75 cables is 12.18 tons and the standard deviation is 0.54. Find the 90% confidence interval for the mean.

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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