Question # 4: Consider the following observations:14 21 23 21 16 19 22 25 16 1624 21 35 22 24 21 39 07 14 20Assume that the population distribution of the observations is normal, calculate a single-number estimate of the population mean. Assume that the population distribution of the observations is normal, calculate a single-number estimate of the population variance.

From the given data : n=20 , ƩX=418 , ƩX2=9702 Our aim is to find the population mean and population…

Answered: ssume that the population distribution…

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter5: A Survey Of Other Common Functions

Section5.3: Modeling Data With Power Functions

Problem 6E: Urban Travel Times Population of cities and driving times are related, as shown in the accompanying...

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- Question # 4: Consider the following observations:
14 21 23 21 16 19 22 25 16 16

24 21 35 22 24 21 39 07 14 20
1. Assume that the population distribution of the observations is normal, calculate a single-number estimate of the population mean.
1. Assume that the population distribution of the observations is normal, calculate a single-number estimate of the population variance.

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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