Answered: A sample mean, sample size,…

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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A sample mean, sample size, population standard deviation, and confidence level are provided. Use this information to complete parts (a) through (c) below.

x=24,

n=33,

σ=3,

confidence level=95%

a. Use the one-mean z-interval procedure to find a confidence interval for the mean of the population from which the sample was drawn.

The confidence interval is from _______ to ___________

(Type integers or decimals rounded to one decimal place as needed.)

b. Obtain the margin of error by taking half the length of the confidence interval.

What is the length of the confidence interval? _______________

(Type an integer or decimal rounded to one decimal place as needed.)

c. Obtain the margin of error by using the formula E=zα2•σn.

Identify the critical value.

zα2=________________

(Type an integer or decimal rounded to two decimal places as needed.)

What is the margin of error obtained using the methods of parts (b) and (c)?

_____________

(Type an integer or decimal rounded to one decimal place 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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