Answered: The manager of a warehouse store wants…

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

The manager of a warehouse store wants to estimate the average number of laser printer toner cartridges sold each day. A random sample of 37 days is selected and the sample mean is 115. The population standard deviation is estimated to be 9.8. Test the claim, using a 95% confidence interval for the mean, that the average number of laser printer toner cartridges sold each day is 110. 2. a. The average IQ is 100, with a population standard deviation of 15. The mayor of Smartsville claims that citizens in his town have higher than average IQs. To test that claim, 40 Smartsville citizens were randomly selected, and their average IQ was determined to be 104.1. Does this support the mayor’s claim? Use α = 0.1. b. construct a 90 % confidence interval for the mean. Does the confidence interval support the claim made in part a?

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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