Answered: For each of the studies presented…

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

For each of the studies presented below: (1) Define the population parameter of interest to the researchers and (2) Estimate the population parameter defined in (1), with a point estimate.
(a) A 42-inch, large-screen, plasma TV is designed to consume only 350 watts and therefore produce less heat. In order to check this specification, a sample of plasma TVs was obtained and the power consumption was measured for each. The sample mean power consumption was 353.8 watts. (b) A sports physiologist is interested in the proportion of professional marathon runners who have very high haemoglobin counts. To this end, the researcher randomly selects 150 elite marathon runners, measures their haemoglobin levels and records it as either very high or normal. The researcher found that 48 subjects in the sample had very high haemoglobin counts.

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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