Answered: In a certain year, the average annual…

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter6: Ratio, Proportion, And Probability

Section: Chapter Questions

Problem 6CR

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In a certain year, the average annual family income in the National Capital Region was P310,860 with a standard deviation of P176,870. With the increased prices of commodities, it is hoped that the mean annual family income has also increased. A survey is conducted to verify this claim. A random sample of 320 families has a mean annual income of P325,255. Which is the most appropriate null hypothesis to choose?

Н, : и 3D Р310, 860
Н, : и 2 Р310, 860
О ption 1
Option 2
На : и> Р310, 860
Н. : и < Р310, 860
Option 3
Option 4

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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