Answered: The test scores for the analytical…

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

The test scores for the analytical writing section of a particular standardized test can be approximated by a normal distribution, as shown in the figure.

Mean: 3.8

standart deviation: 0.77

Score 1.6 3.8 6

(a) What is the maximum score that can be in the bottom

15% of scores?

(b) Between what two values does the middle 70 % of scores lie?

(a) The maximum score that can be in the bottom

15%is____.(Round to two decimal places as needed.)

(b) The middle 70%of scores lies between____on the low end and ____on the high end.

(Round to two decimal places as needed.)

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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It is given that the test scores follows normal distribution with mean 3.8 and standard deviation 0.77.

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