Estimate the confidence interval of the mean value of Y(μ) given Xi = 2000, ŷ = 212, SYX = 30, X̄ = 1715, SSX (summed squares of the difference between xi and X̄) = 1571500, and t0.025 = 2.306. The confidence level for this case is 95%. Rounding to three decimal place. A. 225.057 ≤ Y(μ) ≤ 272.943 B. 185.057 ≤ Y(μ) ≤ 238.943 C. 166.247 ≤ Y(μ) ≤ 197.296 D. 151.247 ≤ Y(μ) ≤ 182.296 Estimate the confidence interval of the mean value of Y(H) given Xi = 2000, ý = 212, SYx = 30, X = 1715, SSX(summed squares of the difference between Xi and X) = 1571500, and to.025 = 2.306. The confidence level for this caseis 95%. Rounding to three decimal place.CA.225.057 s Y(H) s 272.943B.185.057 s Y(H) s 238.943C.166.247 s Y(H) s 197.296CD.151.247 s Y(H) s 182.296

The given values are Xi=2000,y^=212,SYX=30,X¯=1715,SSX=1571500,t0.025=2.306.

Answered: Estimate the confidence interval of the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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Estimate the confidence interval of the mean value of Y(μ) given Xi = 2000, ŷ = 212, SYX = 30, X̄ = 1715, SSX (summed squares of the difference between xi and X̄) = 1571500, and t0.025 = 2.306. The confidence level for this case is 95%. Rounding to three decimal place.

	A.	225.057 ≤ Y(μ) ≤ 272.943
	B.	185.057 ≤ Y(μ) ≤ 238.943
	C.	166.247 ≤ Y(μ) ≤ 197.296
	D.	151.247 ≤ Y(μ) ≤ 182.296

Estimate the confidence interval of the mean value of Y(H) given Xi = 2000, ý = 212, SYx = 30, X = 1715, SSX
(summed squares of the difference between Xi and X) = 1571500, and to.025 = 2.306. The confidence level for this case
is 95%. Rounding to three decimal place.
CA.
225.057 s Y(H) s 272.943
B.
185.057 s Y(H) s 238.943
C.
166.247 s Y(H) s 197.296
CD.
151.247 s Y(H) s 182.296

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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