Answered: Shorney construction company bids on…

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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Shorney construction company bids on projects assuming that the mean idle time per
worker is 72 or fewer minutes per day. a sample of 30 construction workers will be used
to test this assumption. assume that the population standard deviation is 20 minutes.
a. State the hypotheses to be tested.
b. what is the probability of making a type ii error when the population mean idle time
is 80 minutes?
c. what is the probability of making a type ii error when the population mean idle time
is 75 minutes?
d. what is the probability of making a type ii error when the population mean idle time
is 70 minutes?
e. Sketch the power curve for this problem

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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