Answered: Find the area under the standard normal…

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) Find the area under the standard normal distribution curve to the left of

=z−0.88. Use The Standard Normal Distribution Table and enter the answer to 4 decimal places.

The area to the left of the z value is =?

B) Find the area under the standard normal distribution curve between=z0.62 and=z2.61. Use The Standard Normal Distribution Table and enter the answer to 4 decimal places.

The area between the two z values is =?

C) Find the area under the standard normal distribution curve between

=z−1.79 and =z1.89. Use The Standard Normal Distribution Table and enter the answer to 4 decimal places.

The area between the two z values is =?

D) Find the area under the standard normal distribution curve to the left of

=z−1.53 and to the right of =z1.55. Use The Standard Normal Distribution Table and enter the answer to

4 decimal places.

The total area is =

E) Find the probability using the normal distribution: P<0<z0.14. Use The Standard Normal Distribution Table and enter the answer to 4 decimal places.

P (<0<z0.14) =?

F) Find the probability using the normal distribution: P<−1.85<z0.15

. Use The Standard Normal Distribution Table and enter the answer to 4 decimal places.

P (<−1.85<z0.15) =?

G) Find the probability using the normal distribution: P<z2.40. Use The Standard Normal Distribution Table and enter the answer to 4 decimal places.

P (<z2.40) =?

H) Find the z value to the right of the mean so that 89.25% of the area under the distribution curve lies to the left of it. Use The Standard Normal Distribution Table and enter the answer to 2 decimal places.

I) Find the area under the standard normal distribution curve between=z0

and =z−2.34. Use a graphing calculator and round the answer to four decimal places.

The area between the two z values is =?

This is a single question in different parts. Please make sure all parts of the question is answered. From A-I.

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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