Topic : HYPOTHESIS TESTING CONCERNING MEANS SEATWORK1. A sociologist wants to study about the average timechildren play outdoors nowadays. Tentatively, he guesses amean that is less than 3 hours. The population variance isassumed to be 0.64 hour. To prove his claim, he selected asample of 16 children from a normally distributeddistribution and found a sample mean of 2.5 hours ofoutdoor playtime. At a =0.025, will sociologist prove hisclaim? Why or why not?

Given : mean = 2.5 sample size = 16 Population standard deviation = σ = var…

Answered: 1. A sociologist wants to study about…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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Topic : HYPOTHESIS TESTING CONCERNING MEANS

SEATWORK
1. A sociologist wants to study about the average time
children play outdoors nowadays. Tentatively, he guesses a
mean that is less than 3 hours. The population variance is
assumed to be 0.64 hour. To prove his claim, he selected a
sample of 16 children from a normally distributed
distribution and found a sample mean of 2.5 hours of
outdoor playtime. At a =0.025, will sociologist prove his
claim? Why or why not?

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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