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Name: A researcher is interested in testing whether college students send mo
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Description: A researcher is interested in testing whether college students send more or fewer texts per day, relative to the general population. The researcher finds out that the population average of texts sent per day is µ = 112, but is unable to find out the

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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A researcher is interested in testing whether college students send more or fewer texts per day, relative to the general population. The researcher finds out that the population average of texts sent per day is µ = 112, but is unable to find out the population standard deviation.

This researcher then recruits 25 college students, and asks about their texting. They report a sample mean of M = 120, with a SS= 1200

Compute the sample variance s²= ?

AND WRITE THAT NUMBER DOWN. YOU WILL NEED IT FOR THE NEXT QUESTION

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 + ...

Expert Solution

Step 1

Given data

ư = 112,

sample size (n) = 25,

mean (M) = 120

SS = 1200

Step by step

Solved in 2 steps

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