In: Math
It is fairly common for people to put on weight when they quit smoking. While a small weight gain is normal, excessive weight gain can create new health concerns that erode the benefits of not smoking. The accompanying table shows a portion of the weight data for 50 women before quitting and six months after quitting.
BeforeQuit | AfterQuit |
140 | 155 |
144 | 142 |
138 | 153 |
145 | 146 |
118 | 129 |
150 | 149 |
119 | 136 |
125 | 127 |
131 | 158 |
126 | 139 |
124 | 127 |
131 | 141 |
140 | 139 |
140 | 140 |
130 | 136 |
123 | 143 |
132 | 145 |
124 | 126 |
144 | 165 |
117 | 136 |
148 | 163 |
137 | 140 |
133 | 147 |
133 | 142 |
123 | 123 |
134 | 137 |
130 | 140 |
123 | 124 |
125 | 129 |
133 | 136 |
136 | 147 |
127 | 131 |
122 | 134 |
128 | 129 |
133 | 143 |
138 | 150 |
127 | 136 |
126 | 134 |
131 | 140 |
126 | 118 |
130 | 132 |
146 | 146 |
141 | 135 |
125 | 126 |
160 | 163 |
151 | 154 |
135 | 149 |
110 | 105 |
123 | 128 |
135 | 147 |
Let the difference be defined as After Quitting – Before
Quitting.
a. Construct and interpret the 95% confidence
interval for the mean gain in weight. (Round your answers
to 2 decimal places.)
b. Use the confidence interval to determine if the
mean gain in weight differs from 5 pounds.