1. A study of parallel interchange ramps in the Orlando reveals that many drivers don't employ the overall length of parallel lanes for acceleration, but seek as soon as possible an proper gap in the major stream of traffic for merging. At the parallel lane of Lake Mary Boulevard and Interstate 4, the probability that the driver uses less than half the lane length before merging is 0.54 (or 54%). Assume we want to monitor the merging patterns of the random sample of 330 drivers at the parallel lane of Lake Mary Boulevard and Interstate 4. What is the estimate probability that 200 of those drivers or less will employ less than half the parallel lane length before merging?
2. The FDA conducted the study to measure the effectiveness of drug it recently developed to minimize the level of Total Blood Cholesterol. In the study, 20 persons with the high level cholesterol (the desirable level is less than 200 milligrams for each deciliter of blood (mg/dL)) were administered the newly developed pill. The pharmaceutical company which manufactures the pill claims that patients with high cholesterol level will experience the reduction of at least 50 mg/dL using this pill. The results are shown in table below. You've been asked to test whether the data support company's claim? Test at α = 0.05. Suppose normality.
| Before Using Pill |
After Using Pill |
| 241 |
175 |
| 276 |
166 |
| 206 |
174 |
| 236 |
196 |
| 245 |
168 |
| 220 |
209 |
| 262 |
206 |
| 255 |
217 |
| 251 |
198 |
| 249 |
279 |
| 247 |
174 |
| 224 |
209 |
| 229 |
219 |
| 282 |
216 |
| 248 |
214 |
| 261 |
198 |
| 233 |
207 |
| 263 |
210 |
| 220 |
145 |
| 249 |
169 |