Answered: The secretary in a statistics…

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 secretary in a statistics department would like to estimate how much coffee to brew per day such that there is enough fresh coffee for the consumers in the department. Shedecides to take a random sample of 10 of the coffee drinkers in the department and asks them to indicate the number of cups of coffee they consume per day when they are in thedepartment. The results of her study are given: 3, 4, 4, 6, 4, 6, 5, 2, 5, and 3, The sample mean (exact) is__________ The sample standard deviation (round the answer to 3 decimal places) is__________ The 99 percent confidence interval for the average number of cups of coffee consumed per day by the consumers in this department is _________ cups to _________ cups (round the answer to 3 decimal places)

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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