Answered: A simple random sample of 41 Veterans…

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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Question

A simple random sample of 41 Veterans Day celebrations was selected and the number of children attending each was recorded. The mean number of children in attendance for this sample of 41 Veterans Day celebrations was 72, with a standard deviation of 9.4. If appropriate, use this information to calculate and interpret a 98% confidence interval for the mean number of children attending all 2022 Veterans Day celebrations.

Based on the information above, are the assumptions met?

No, because there is a simple random sample but the population is not normally distributed

Yes, because there is a simple random sample

Yes, because there is a simple random sample and the population is normally distributed

Yes, because there is a simple random sample and the sample size is large enough for the Central Limit Theorem

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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