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.