Answered: he main campus of a large state…

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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5) The physical plant at the main campus of a large state university recieves daily requests to replace fluorescent lightbulbs. The distribution of the number of daily requests is bell-shaped and has a mean of 53 and a standard deviation of 6. Using the empirical rule (as presented in the book), what is the approximate percentage of lightbulb replacement requests numbering between 47 and 53?

Do not enter the percent symbol.
ans =

A population of values has a normal distribution with μ=184μ=184 and σ=16.9σ=16.9. You intend to draw a random sample of size n=63n=63.

Find the probability that a single randomly selected value is between 177.2 and 181.7.
P(177.2 < X < 181.7) =

7) A population of values has a normal distribution with μ=68.5μ=68.5 and σ=3σ=3. You intend to draw a random sample of size n=224n=224.

Find the probability that a sample of size n=224n=224 is randomly selected with a mean greater than 68.1.
P(M > 68.1) =

Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.

(if this is not too much to ask please help me with these questions.

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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