1. The table contains prices from two companies, one on the east coast and one on the...
Question:
1. The table contains prices from two companies, one on the east coast and one on the west coast, for specific fish types. Find a 90% confidence interval for the mean difference in wholesale price between the east coast and west coast suppliers. Round to two decimal places. Wholesale Prices of Fish in Dollars
| Fish | East Coast | West Coast |
|---|---|---|
| Cod | 17.99 | 23.99 |
| Tilapia | 7 | 12 |
| Farmed Salmon | 18.99 | 20.99 |
| Organic Salmon | 22.99 | 28.99 |
| Grouper Fillet | 30.99 | 35.99 |
| Tuna | 26.99 | 33.99 |
| Swordfish | 21.99 | 23.99 |
| Sea Bass | 35.99 | 39.99 |
| Striped Bass | 29.99 | 29.99 |
With 90% confidence, it can be said that the true mean difference in wholesale price between the east coast and west coast suppliers is between $????? and $??????.
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2. To determine if Reiki is an effective method for treating pain, a pilot study was carried out where a certified second-degree Reiki therapist provided treatment on volunteers. Pain was measured using a visual analogue scale (VAS) immediately before and after the Reiki treatment. The data is in the table. Compute a 95% confidence level for the mean difference in VAS score from before and after Reiki treatment. Round to three decimal places. Pain Measures Before and After Reiki Treatment
| VAS before | VAS after |
|---|---|
| 5 | 6 |
| 4 | 4 |
| 1 | 0 |
| 1 | 1 |
| 8 | 3 |
| 9 | 10 |
| 3 | 4 |
| 6 | 7 |
| 5 | 3 |
| 9 | 2 |
| 7 | 0 |
| 8 | 2 |
| 6 | 7 |
| 5 | 5 |
| 9 | 3 |
| 3 | 2 |
| 2 | 1 |
| 7 | 8 |
| 8 | 3 |
| 2 | 2 |
With 95% confidence, it can be said that the mean difference in VAS score from before and after Reiki treatment is between ????? and ?????
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3. The cholesterol level of patients who had heart attacks was measured two days after the heart attack and then again four days after the heart attack. The researchers want to see if the cholesterol level of patients who have heart attacks reduces as the time since their heart attack increases. The data is in the table. Calculate a 99% confidence interval for the mean difference in cholesterol levels from day two to day four. Round to two decimal places. Cholesterol Levels (in mg/dL) of Heart Attack Patients
| Patient | Cholesterol Level Day 2 | Cholesterol Level Day 4 |
|---|---|---|
| 1 | 265 | 246 |
| 2 | 195 | 173 |
| 3 | 231 | 238 |
| 4 | 257 | 280 |
| 5 | 240 | 265 |
| 6 | 249 | 263 |
| 7 | 245 | 223 |
| 8 | 190 | 177 |
| 9 | 245 | 221 |
| 10 | 215 | 220 |
| 11 | 356 | 351 |
| 12 | 316 | 284 |
| 13 | 180 | 195 |
| 14 | 239 | 205 |
| 15 | 212 | 210 |
| 16 | 240 | 249 |
| 17 | 239 | 216 |
| 18 | 187 | 170 |
| 19 | 230 | 211 |
| 20 | 275 | 241 |
| 21 | 286 | 289 |
| 22 | 318 | 320 |
| 23 | 190 | 194 |
| 24 | 211 | 196 |
| 25 | 272 | 288 |
| 26 | 283 | 287 |
| 27 | 214 | 212 |
| 28 | 328 | 333 |
With 99% confidence, it can be said that the true mean difference in cholesterol levels is between ???? and ???? mg/dL.
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4. The number of cell phones per 100 residents in countries in Europe is given in the first table. The number of cell phones per 100 residents in countries of the Americas is given in the second table. Find the 95% confidence interval for the difference in mean number of cell phones per 100 residents in Europe and the Americas. Round to the nearest whole number. Number of Cell Phones per 100 Residents in Europe
| 100 |
| 106 |
| 93 |
| 149 |
| 84 |
| 101 |
| 118 |
| 62 |
| 119 |
| 54 |
| 134 |
| 105 |
| 117 |
| 99 |
| 74 |
| 109 |
| 116 |
| 99 |
| 54 |
| 111 |
| 133 |
| 61 |
| 82 |
| 140 |
| 95 |
| 113 |
| 48 |
| 114 |
| 101 |
| 71 |
| 37 |
| 86 |
| 100 |
| 99 |
| 126 |
| 71 |
| 102 |
| 120 |
| 98 |
| 65 |
| 94 |
| 53 |
| 118 |
| 101 |
| 116 |
| 51 |
| 41 |
| 75 |
| 118 |
| 162 |
| 98 |
| 90 |
| 106 |
With 95% confidence, it can be said that the difference in mean number of cell phones per 100 residents in Europe and the Americas is between ???? and ????.
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