Answered: Joan was convinced that students who…

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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Joan was convinced that students who study abroad during college would report a more positive “college experience” than the general population of students, whose average “college experience” is m = 4.5 on a scale ranging from 1, totally negative, to 7, extremely positive). She sampled 7 students who had studied abroad. Their scores are as follows:

*For this problem, you will be conducting a t test for a single sample. See pages 235-237 for an example of conducting this type of analysis and model your response afte

Step 4: Determine your samples score on the comparison distribution. That is, calculate the t-test for your sample’s mean. SHOW ALL WORK and formulas.

e) Step 5: Decide whether to reject the null hypothesis. State in words the results of your study (using an alpha of r that problem.

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

Working

X	(x-xbar)^2
4	4
6	0
7	1
7	1
6	0
5	1
7	1

The mean is given by

$\overline{x} = \frac{1}{n}\sum x$

$\overline{x} = \frac{42}{7} = 6$

The standard deviation is given by

$s =\sqrt{\frac{1}{n-1}\sum (x - \overline{x})^2}$

$s =\sqrt{\frac{8}{6}} =1.1547$

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