Among various ethnic groups, the standard deviation of heights is known to be approximately three inches. We wish to construct a 95% confidence interval for the mean height of males from a certain country. Forty-five males are surveyed from a particular country. The sample mean is 71 inches. The sample standard deviation is 2.7 inches. %3D|3|Part (d)Construct a 95% confidence interval for the population mean height of males of this country.O State the confidence interval. (Round your answers to two decimal places.() Sketch the graph.2022.() Calculate the error bound. (Round your answer to two decimal places.)O Part (e)What will happen to the level of confidence obtained if 1,000 males are surveyed instead of 46? Why?O The confidence interval will increase in size, because an increase in sample size decreases variability, which means a larger interval will beO The confidence intenval will decrease in size, because an increase in sample size increases variability, which means a smaller interval will beThe confidence interval will decrease in size, because an increase in sample size decreases variability, which means a smaller interval will bO The confidence interval will increase in size, because an increase in sample size increases variability, which means a larger interval will be ne

The sample mean is 71 inches and the sample standard deviation is 2.7 inches.

Answered: %3D |3| Part (d) Construct a 95%…

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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Among various ethnic groups, the standard deviation of heights is known to be approximately three inches. We wish to construct a 95% confidence interval for the mean height of males from a certain country. Forty-five males are surveyed from a particular country. The sample mean is 71 inches. The sample standard deviation is 2.7 inches.

%3D
|3|
Part (d)
Construct a 95% confidence interval for the population mean height of males of this country.
O State the confidence interval. (Round your answers to two decimal places.
() Sketch the graph.
20
2
2.
() Calculate the error bound. (Round your answer to two decimal places.)
O Part (e)
What will happen to the level of confidence obtained if 1,000 males are surveyed instead of 46? Why?
O The confidence interval will increase in size, because an increase in sample size decreases variability, which means a larger interval will be
O The confidence intenval will decrease in size, because an increase in sample size increases variability, which means a smaller interval will be
The confidence interval will decrease in size, because an increase in sample size decreases variability, which means a smaller interval will b
O The confidence interval will increase in size, because an increase in sample size increases variability, which means a larger interval will be ne

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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