Answered: Sam runs a large chain of car repair…

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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Sam runs a large chain of car repair shops. He pays his employees for 8 hours of work each day. The employees have to log the amount of time they spend working on each job, which results in a number of billable hours for each employee each day. Sam would like to estimate the mean number of billable hours for the large number of employees at the company. To do so, he selects a random sample of 10 employees and asks them how many billable hours they tend to have each day. From their responses, he constructs a 95% confidence interval for the true mean number of billable hours for all employees in the company. Which of the following may have an impact on the confidence interval, but is not accounted for by the margin of error?

A) response bias

B) nonresponse bias

C) sampling variation

D) undercoverage bias

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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