Answered: A safety light is designed so that the…

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 safety light is designed so that the times between flashes are normally distributed with a mean of 3.50 s and a standard deviation of 0.70 s.

a. Find the probability that an individual time is greater than 4..50 s.

The probability is approximately __________. Round to 4 decimal

places as needed.

b. Find the probability that the mean for 70 randomly selected times is

greater than 4.5 s.

The probability is approximately _______________________. Round to 4

decimal places as needed.

c. Given that the light is intended to help people see an obstruction, which result is more relevant for assessing the safety of the light?

Choose the correct answer below:

A. Part (b) is more significant because the times of a single strobe is important

B. Part (a) is more significant because the average time for a sample is important

C. Part (b) is more significant becaue the average time for a sample is important.

D. Part (a) is more significant because the times of a single strobe is important.

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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