Assume that the square footage of a residential house in the US is normally distributed with a mean=1000 and standard deviation=150 square feet. Suppose we select 450 houses from a town and we find that the mean of those houses is 1230 square feet (the standard deviation remains the same). What is the 95% confidence interval for this sample? from 1216 to 1244 from 1250 to 1320 from 1126 to 1294 from 1038 to 1420

Here's mean is 1230 and standard deviation is 150. Sample number is 450. We will use one sample z…

Answered: Assume that the square footage of a…

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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Assume that the square footage of a residential house in the US is normally distributed with a mean=1000 and standard deviation=150 square feet. Suppose we select 450 houses from a town and we find that the mean of those houses is 1230 square feet (the standard deviation remains the same). What is the 95% confidence interval for this sample?

from 1216 to 1244

from 1250 to 1320

from 1126 to 1294

from 1038 to 1420

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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