QOCH.A The number of cell phones per 100 residents in countries in Europe is given in Table #1 for the year 2010. The number of cell phones per 100 residents in countries of the Americas is given in Table #2 also for the year 2010 ("Population reference bureau," 2013). Table #1: Number of Cell Phones per 100 Residents in Europe 100 76 100 130 75 84 112 84 138 133 118 134 126 188 129 93 64 128 124 122 109 121 127 152 96 63 99 95 151 147 123 95 67 67 118 125 110 115 140 115 141 77 98 102 102 112 118 118 54 23 121 126 47 Table #2: Number of Cell Phones per 100 Residents in the Americas 158 117 106 159 53 50 78 66 88 92 42 3 150 72 86 113 50 58 70 109 37 32 85 101 75 69 55 115 95 73 86 157 100 119 81 113 87 105 96 Let μ1 = mean number of cell phones per 100 residents in countries of Europe. Let μ2 = mean number of cell phones per 100 residents in countries of the Americas. Find the 98% confidence interval for the difference in mean number of cell phones per 100 residents in Europe and the Americas. (i) For the sample from population with mean = μ1 : Determine sample mean x⎯⎯1 and sample standard deviation s1i For the sample from population with mean = μ1 : Determine sample mean x¯1 and sample standard deviation s1 Enter sample mean in decimal form to nearest ten-thousandth, then comma, then sample standard deviation in decimal form to nearest ten-thousandth. Examples of correctly entered answers: 13.2027,2.3471 0.2700,0.0006 -10.3150,0.0790 (ii) For the sample from the population with mean = μ2 : Determine sample mean x⎯⎯2 and sample standard deviation s2ii For the sample from the population with mean = μ2 : Determine sample mean x¯2 and sample standard deviation s2 Enter sample mean in decimal form to nearest ten-thousandth, then comma, then sample standard deviation in decimal form to nearest ten-thousandth. Examples of correctly entered answers: 13.2027,2.3471 0.2700,0.0006 -10.3150,0.0790 (iii) Enter the level of significance α used for this interval estimate: Enter in decimal form. Examples of correctly entered answers: 0.01 0.02 0.05 0.10

QOCH.A The number of cell phones per 100 residents in countries in Europe is given in Table #1 for the year 2010. The number of cell phones per 100 residents in countries of the Americas is given in Table #2 also for the year 2010 ("Population reference bureau," 2013). Table #1: Number of Cell Phones per 100 Residents in Europe 100 76 100 130 75 84 112 84 138 133 118 134 126 188 129 93 64 128 124 122 109 121 127 152 96 63 99 95 151 147 123 95 67 67 118 125 110 115 140 115 141 77 98 102 102 112 118 118 54 23 121 126 47 Table #2: Number of Cell Phones per 100 Residents in the Americas 158 117 106 159 53 50 78 66 88 92 42 3 150 72 86 113 50 58 70 109 37 32 85 101 75 69 55 115 95 73 86 157 100 119 81 113 87 105 96 Let μ1 = mean number of cell phones per 100 residents in countries of Europe. Let μ2 = mean number of cell phones per 100 residents in countries of the Americas. Find the 98% confidence interval for the difference in mean number of cell phones per 100 residents in Europe and the Americas. (i) For the sample from population with mean = μ1 : Determine sample mean x⎯⎯1 and sample standard deviation s1i For the sample from population with mean = μ1 : Determine sample mean x¯1 and sample standard deviation s1 Enter sample mean in decimal form to nearest ten-thousandth, then comma, then sample standard deviation in decimal form to nearest ten-thousandth. Examples of correctly entered answers: 13.2027,2.3471 0.2700,0.0006 -10.3150,0.0790 (ii) For the sample from the population with mean = μ2 : Determine sample mean x⎯⎯2 and sample standard deviation s2ii For the sample from the population with mean = μ2 : Determine sample mean x¯2 and sample standard deviation s2 Enter sample mean in decimal form to nearest ten-thousandth, then comma, then sample standard deviation in decimal form to nearest ten-thousandth. Examples of correctly entered answers: 13.2027,2.3471 0.2700,0.0006 -10.3150,0.0790 (iii) Enter the level of significance α used for this interval estimate: Enter in decimal form. Examples of correctly entered answers: 0.01 0.02 0.05 0.10

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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QOCH.A

The number of cell phones per 100 residents in countries in Europe is given in Table #1 for the year 2010. The number of cell phones per 100 residents in countries of the Americas is given in Table #2 also for the year 2010 ("Population reference bureau," 2013).

Table #1: Number of Cell Phones per 100 Residents in Europe

100	76	100	130	75	84
112	84	138	133	118	134
126	188	129	93	64	128
124	122	109	121	127	152
96	63	99	95	151	147
123	95	67	67	118	125
110	115	140	115	141	77
98	102	102	112	118	118
54	23	121	126	47

Table #2: Number of Cell Phones per 100 Residents in the Americas

158	117	106	159	53	50
78	66	88	92	42	3
150	72	86	113	50	58
70	109	37	32	85	101
75	69	55	115	95	73
86	157	100	119	81	113
87	105	96

Let μ₁ = mean number of cell phones per 100 residents in countries of Europe. Let μ₂ = mean number of cell phones per 100 residents in countries of the Americas. Find the 98% confidence interval for the difference in mean number of cell phones per 100 residents in Europe and the Americas.

(i) For the sample from population with mean = μ1 : Determine sample mean x⎯⎯1 and sample standard deviation s1i For the sample from population with mean = μ1 : Determine sample mean x¯1 and sample standard deviation s1

Enter sample mean in decimal form to nearest ten-thousandth, then comma, then sample standard deviation in decimal form to nearest ten-thousandth. Examples of correctly entered answers:

13.2027,2.3471

0.2700,0.0006

-10.3150,0.0790

(ii) For the sample from the population with mean = μ2 : Determine sample mean x⎯⎯2 and sample standard deviation s2ii For the sample from the population with mean = μ2 : Determine sample mean x¯2 and sample standard deviation s2

Enter sample mean in decimal form to nearest ten-thousandth, then comma, then sample standard deviation in decimal form to nearest ten-thousandth. Examples of correctly entered answers:

13.2027,2.3471

0.2700,0.0006

-10.3150,0.0790

(iii) Enter the level of significance α used for this interval estimate:

Enter in decimal form. Examples of correctly entered answers: 0.01 0.02 0.05 0.10

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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100	76	100	130	75	84
112	84	138	133	118	134
126	188	129	93	64	128
124	122	109	121	127	152
96	63	99	95	151	147
123	95	67	67	118	125
110	115	140	115	141	77
98	102	102	112	118	118
54	23	121	126	47

158	117	106	159	53	50
78	66	88	92	42	3
150	72	86	113	50	58
70	109	37	32	85	101
75	69	55	115	95	73
86	157	100	119	81	113
87	105	96

100	76	100	130	75	84
112	84	138	133	118	134
126	188	129	93	64	128
124	122	109	121	127	152
96	63	99	95	151	147
123	95	67	67	118	125
110	115	140	115	141	77
98	102	102	112	118	118
54	23	121	126	47

158	117	106	159	53	50
78	66	88	92	42	3
150	72	86	113	50	58
70	109	37	32	85	101
75	69	55	115	95	73
86	157	100	119	81	113
87	105	96

100	76	100	130	75	84
112	84	138	133	118	134
126	188	129	93	64	128
124	122	109	121	127	152
96	63	99	95	151	147
123	95	67	67	118	125
110	115	140	115	141	77
98	102	102	112	118	118
54	23	121	126	47

158	117	106	159	53	50
78	66	88	92	42	3
150	72	86	113	50	58
70	109	37	32	85	101
75	69	55	115	95	73
86	157	100	119	81	113
87	105	96