A computer monitors and records how many rings it takes for an operator at a large food products company to answer, how much time each caller spends "on hold," and other data. As a check on the computer system, approximately how many calls should be manually monitored during the next year to estimate the true mean time that callers spend on hold to within2seconds with90%confidence? Answer this question for the following values of the standard deviation of waiting times (in seconds):10,17,and24. Question content area bottomPart 1The company must sampleenter your response herecalls in order to estimate the true mean time that callers spend on hold to within2secondswith90%confidence and a waiting time standard deviation of10seconds.

Margin of error(E)=2 confidence level=90%

Answered: A computer monitors and records how…

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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Question content area bottom

Part 1

The company must sample

enter your response here

calls in order to estimate the true mean time that callers spend on hold to within

seconds

with

90%

confidence and a waiting time standard deviation of

seconds.

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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