Answered: High School Competency Test A mandatory…

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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High School Competency Test A mandatory competency test for high school sophomores has a normal distribution with a mean of 445 and a standard deviation of 99 . Round the final answers to the nearest whole number and intermediate Z-value calculations to 2 decimal places.The top 3% of students receive $500. What is the minimum score you would need to receive this award? The minimum score needed to receive the award is

Monthly Mortgage Payments The average monthly mortgage payment including principal and interest is $982 in the United States. Assume that the standard deviation is approximately $180 and the mortgage payments are approximately normally distributed. Find these probabilities of the monthly payment selected randomly. Enter the final answers as decimals rounded to at least four places. Round intermediate z-value calculations to two decimal places. a more than $1580 P(X>1580)

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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