A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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Question
The maximum grade allow for this exam was 128 points.
(a) Find the
(b) Person A computed the interval ¯x±2s to be (102.42, 142.18) and claims that this interval contains approximately 95% of the grades. As an expert consultant you have been contacted by investigator B to help confirm her points:
i. Investigator B believes that, regardless of the percentage of grades contained in the interval, the interval should be (102.42, 128). Do you agree? Explain in no more than 2 sentences.
ii. Investigator B believes that that it is not necessarily true that his interval contains approximately 95% of the grades. Do you agree? Explain in no more than 2 sentences.
Grades | 128 | 128 | 128 | 128 | 118 | 124 | 128 | 124 | 119 | 128 | 128 | 117 | 117 | 116 | 128 | 121 | 128 |
122 | 124 | 128 | 128 | 128 | 102 | 124 | 128 | 120 | 128 | 128 | 101 | 128 | 125 | 124 | 104 | 94 | 128 |
128 | 128 | 122 | 121 | 122 | 104 | 121 | 122 | 128 | 126 | 128 | 119 | 106 | 128 | 117 | 124 | 128 | 120 |
128 | 124 | 100 | 128 | 128 | 128 | 128 | 124 | 128 | 123 | 124 | 122 | 125 | 128 | 128 | 126 | 128 | 128 |
124 | 128 | 111 | 126 | 124 | 128 | 128 | 128 | 125 | 128 | 101 | 122 | 124 | 120 | 128 | 128 | 107 | 115 |
128 | 127 | 120 | 121 | 128 | 128 | 122 | 126 | 126 | 128 | 125 | 128 | 120 | 128 | 128 | 128 | 128 | 124 |
117 | 128 | 128 | 124 | 109 | 128 | 122 | 128 | 123 | 124 | 124 | 118 | 128 | 128 | 128 | 122 | 60 | 124 |
120 | 124 | 128 | 128 | 99 | 121 | 124 | 125 | 128 | 116 | 128 | 128 | 124 | 124 | 128 | 109 | 128 | 128 |
124 | 116 | 124 | 128 | 118 | 118 | 128 | 124 | 124 | 121 | 125 | 126 | 125 | 122 | 128 | 125 | 128 | 128 |
128 | 101 | 117 | 120 | 106 | 123 | 128 | 108 | 126 | 106 | 128 | 128 | 128 | 128 | 128 | 108 | 128 | 128 |
124 | 124 | 126 | 124 | 125 | 128 | 128 | 125 | 128 | 124 | 128 | 128 | 128 | 104 | 120 | 126 | 128 | 122 |
120 | 128 | 128 | 80 | 68 | 122 | 128 | 128 | 128 | 122 | 124 | 122 | 128 | 128 | 128 | 128 | 128 | 125 |
128 | 128 | 116 | 128 | 116 | 72 |
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