A random sample of 40 companies with assets over $10 million was surveyed and asked to indicate their industry and annual computer technology expense. The ANOVA comparing the average computer technology expenses among three industries rejected the null hypothesis. The mean square error (MSE) was 209. The following table summarizes the results: EducationTax ServicesFood ServicesNumber Sampled101416Mean Expense (1,000,000s)1643.548When comparing the mean annual computer technology expenses for companies in the tax services and education industries, which of the following 95% confidence intervals can be constructed? Select one:a. 27.5 ± 2.021 × 5.986b. 27.5 ± 2.026 × 27.96c. 27.5 ± 2.021 × 27.9d. 27.5 ± 2.026 × 5.986

Answered: A random sample of 40 companies with…

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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A random sample of 40 companies with assets over $10 million was surveyed and asked to indicate their industry and annual computer technology expense. The ANOVA comparing the average computer technology expenses among three industries rejected the null hypothesis. The mean square error (MSE) was 209. The following table summarizes the results:

	Education	Tax Services	Food Services
Number Sampled	10	14	16
Mean Expense (1,000,000s)	16	43.5	48

When comparing the mean annual computer technology expenses for companies in the tax services and education industries, which of the following 95% confidence intervals can be constructed?

Select one:

a. 27.5 ± 2.021 × 5.986

b. 27.5 ± 2.026 × 27.96

c. 27.5 ± 2.021 × 27.9

d. 27.5 ± 2.026 × 5.986

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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