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