Answered: Many students have had the unpleasant…

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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Many students have had the unpleasant experience of panicking on a test because the first question was
exceptionally difficult. The arrangement of test items was studied for its effect on anxiety. The following
scores are measures of ”debilitating test anxiety,” which most of us call panic or blanking out. Is there
sufficient evidence to support the claim that the two populations of scores have different means at the 5%
significance level?

	Easy to Difficult	Difficult to Easy
1	24.64	33.62
2	33.31	35.91
3	26.43	27.24
4	28.89	27.62
5	25.49	34.02
6	39.29	26.68
7	20.60	32.34
8	24.23	42.91
9	28.71	26.63
10	38.81	29.49
11	16.32	29.34
12	21.13	30.2
13	7.10	30.26
14	31.73	35.32
15	27.85	33.53
16	32.83	32.54
17	26.69
18	32.86
19	30.02
20	30.29
21	28.02
22	28.90
23	21.06
24	21.96
25	30.72

Mean	27.1152	31.7281
St Dev	6.8571	4.2602

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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