Answered: Find the confidence interval estimate…

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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Part 1

Identify

the critical value

tα/2

used for finding the margin of error.

tα/2=enter your response here

(Round to two decimal places as needed.)

Part 2

b. Find the margin of error.

E=enter your response here

(Round to one decimal place as needed.)

Part 3

c. Find the confidence interval estimate of

μ.

enter your response here

g<μ<enter your response here

(Round to one decimal place as needed.)

Part 4

Write

a brief statement that interprets the confidence interval. Choose the correct answer below.

One has

90%

confidence that the interval from the lower bound to the upper bound contains the true value of the population mean weight of newborn girls.

One has

90%

confidence that the sample mean weight of newborn girls is equal to the population mean weight of newborn girls.

Approximately

90%

of sample mean weights of newborn girls will fall between the lower bound and the upper bound.

There is a

90%

chance that the true value of the population mean weight of newborn girls will fall between the lower bound and the upper bound.

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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