Answered: A researcher is interested in the mean…

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

A researcher is interested in the mean mileage for all school buses in a school district. Forty buses are randomly selected from a computer printout of buses provided by the school district. For each bus they record the name of the school it is used for, mileage, and age. It is calculated that 32.5% of the 40 buses are over 15 years old. With 99% confidence they find that the mean mileage for all school buses in the school district is between 85,261 and 134,890 miles.

What is the population in the study? Be specific.

What is the sampling frame for the study? Be specific.

What is the sample in this study? Be specific.

What is the qualitative variable in this study? Why?

Is 32.5% a statistic or a parameter? Why?

What is the inferential part of the study? Explain why it is inferential.

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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